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148531157100 = 223252181191129
BaseRepresentation
bin1000101001010100100…
…1011001100001101100
3112012101101120120012200
42022111021121201230
54413142434011400
6152122334101500
713505512001304
oct2122511314154
9465341516180
10148531157100
1157a9aa697a7
122495294a890
1311011178a51
14729067c604
153ce4b8bb00
hex229525986c

148531157100 has 108 divisors (see below), whose sum is σ = 465824846760. Its totient is φ = 39586003200.

The previous prime is 148531157077. The next prime is 148531157149. The reversal of 148531157100 is 1751135841.

It is a happy number.

148531157100 is a `hidden beast` number, since 1 + 4 + 8 + 531 + 15 + 7 + 100 = 666.

It is a super-3 number, since 3×1485311571003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1584336 + ... + 1675464.

Almost surely, 2148531157100 is an apocalyptic number.

148531157100 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 148531157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232912423380).

148531157100 is an abundant number, since it is smaller than the sum of its proper divisors (317293689660).

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

148531157100 is a wasteful number, since it uses less digits than its factorization.

148531157100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92960 (or 92950 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 148531157100 in words is "one hundred forty-eight billion, five hundred thirty-one million, one hundred fifty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1811 3622 5433 7244 9055 10866 16299 18110 21732 27165 32598 36220 45275 54330 65196 81495 90550 91129 108660 135825 162990 181100 182258 271650 273387 325980 364516 407475 455645 543300 546774 814950 820161 911290 1093548 1366935 1629900 1640322 1822580 2278225 2733870 3280644 4100805 4556450 5467740 6834675 8201610 9112900 13669350 16403220 20504025 27338700 41008050 82016100 165034619 330069238 495103857 660138476 825173095 990207714 1485311571 1650346190 1980415428 2475519285 2970623142 3300692380 4125865475 4951038570 5941246284 7426557855 8251730950 9902077140 12377596425 14853115710 16503461900 24755192850 29706231420 37132789275 49510385700 74265578550 148531157100