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153136240 = 24529149443
BaseRepresentation
bin10010010000010…
…10110001110000
3101200011010102121
421020022301300
5303200324430
623110124024
73536431225
oct1110126160
9350133377
10153136240
1179494584
1243350614
132595957a
14164a394c
15d69da7a
hex920ac70

153136240 has 80 divisors (see below), whose sum is σ = 371628000. Its totient is φ = 58612736.

The previous prime is 153136183. The next prime is 153136241. The reversal of 153136240 is 42631351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153136241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345459 + ... + 345901.

It is an arithmetic number, because the mean of its divisors is an integer number (4645350).

Almost surely, 2153136240 is an apocalyptic number.

153136240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185814000).

153136240 is an abundant number, since it is smaller than the sum of its proper divisors (218491760).

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

153136240 is a wasteful number, since it uses less digits than its factorization.

153136240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 153136240 is about 12374.8228270145. The cubic root of 153136240 is about 535.0068302037.

Adding to 153136240 its reverse (42631351), we get a palindrome (195767591).

The spelling of 153136240 in words is "one hundred fifty-three million, one hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 149 232 290 298 443 464 580 596 745 886 1160 1192 1490 1772 2215 2320 2384 2980 3544 4321 4430 5960 7088 8642 8860 11920 12847 17284 17720 21605 25694 34568 35440 43210 51388 64235 66007 69136 86420 102776 128470 132014 172840 205552 256940 264028 330035 345680 513880 528056 660070 1027760 1056112 1320140 1914203 2640280 3828406 5280560 7656812 9571015 15313624 19142030 30627248 38284060 76568120 153136240