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132252000144 = 243111016833631
BaseRepresentation
bin111101100101011010…
…1010101111110010000
3110122100212110201001120
41323022311111332100
54131323003001034
6140431123202240
712361220311305
oct1731265257620
9418325421046
10132252000144
11510a6896180
122176ab16380
13c618611ab4
1465886010ac
153690902c49
hex1ecad55f90

132252000144 has 160 divisors (see below), whose sum is σ = 377055295488. Its totient is φ = 39610560000.

The previous prime is 132252000137. The next prime is 132252000151. The reversal of 132252000144 is 441000252231.

It is an interprime number because it is at equal distance from previous prime (132252000137) and next prime (132252000151).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36421209 + ... + 36424839.

Almost surely, 2132252000144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132252000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188527647744).

132252000144 is an abundant number, since it is smaller than the sum of its proper divisors (244803295344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132252000144 is a wasteful number, since it uses less digits than its factorization.

132252000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 132252000144 its reverse (441000252231), we get a palindrome (573252252375).

The spelling of 132252000144 in words is "one hundred thirty-two billion, two hundred fifty-two million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 683 808 1111 1212 1366 1616 2049 2222 2424 2732 3333 3631 4098 4444 4848 5464 6666 7262 7513 8196 8888 10893 10928 13332 14524 15026 16392 17776 21786 22539 26664 29048 30052 32784 39941 43572 45078 53328 58096 60104 68983 79882 87144 90156 119823 120208 137966 159764 174288 180312 206949 239646 275932 319528 360624 366731 413898 479292 551864 639056 733462 758813 827796 958584 1100193 1103728 1466924 1517626 1655592 1917168 2200386 2276439 2479973 2933848 3035252 3311184 4034041 4400772 4552878 4959946 5867696 6070504 7439919 8068082 8801544 9105756 9919892 12102123 12141008 14879838 16136164 17603088 18211512 19839784 24204246 27279703 29759676 32272328 36423024 39679568 48408492 54559406 59519352 64544656 81839109 96816984 109118812 119038704 163678218 193633968 218237624 250477273 327356436 436475248 500954546 654712872 751431819 1001909092 1309425744 1502863638 2003818184 2755250003 3005727276 4007636368 5510500006 6011454552 8265750009 11021000012 12022909104 16531500018 22042000024 33063000036 44084000048 66126000072 132252000144