157235685120 has 648 divisors, whose sum is σ = 572393085264. Its totient is φ = 39826096128.

The previous prime is 157235685119. The next prime is 157235685121. The reversal of 157235685120 is 21586532751.

157235685120 is a `hidden beast` number, since 1 + 5 + 72 + 3 + 5 + 68 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157235685119) and next prime (157235685121).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157235685121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1391466184 + ... + 1391466296.

Almost surely, 2^157235685120 is an apocalyptic number.

157235685120 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 157235685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286196542632).

157235685120 is an abundant number, since it is smaller than the sum of its proper divisors (415157400144).

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

157235685120 is a wasteful number, since it uses less digits than its factorization.

157235685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 157235685120 in words is "one hundred fifty-seven billion, two hundred thirty-five million, six hundred eighty-five thousand, one hundred twenty".