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157139250912 = 2536722343139
BaseRepresentation
bin1001001001011000111…
…0101010111011100000
3120000121022020001000000
42102112032222323200
510033310122012122
6200104435300000
714232025410600
oct2222616527340
9500538201000
10157139250912
1160708013016
122655574a600
1311a8368c797
1478699d8c00
15414a7530ac
hex24963aaee0

157139250912 has 1008 divisors, whose sum is σ = 580266529920. Its totient is φ = 41644399104.

The previous prime is 157139250893. The next prime is 157139250913. The reversal of 157139250912 is 219052931751.

157139250912 is a `hidden beast` number, since 1 + 5 + 7 + 139 + 2 + 509 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157139250913) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1130498139 + ... + 1130498277.

It is an arithmetic number, because the mean of its divisors is an integer number (575661240).

Almost surely, 2157139250912 is an apocalyptic number.

157139250912 is a gapful number since it is divisible by the number (12) 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 157139250912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290133264960).

157139250912 is an abundant number, since it is smaller than the sum of its proper divisors (423127279008).

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

157139250912 is a wasteful number, since it uses less digits than its factorization.

157139250912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 157139250912 in words is "one hundred fifty-seven billion, one hundred thirty-nine million, two hundred fifty thousand, nine hundred twelve".