157259155536 has 200 divisors, whose sum is σ = 521006337984. Its totient is φ = 44859432960.

The previous prime is 157259155517. The next prime is 157259155549. The reversal of 157259155536 is 635551952751.

157259155536 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 59 + 1 + 55 + 536 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5801631 + ... + 5828673.

Almost surely, 2^157259155536 is an apocalyptic number.

157259155536 is a gapful number since it is divisible by the number (16) 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 157259155536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260503168992).

157259155536 is an abundant number, since it is smaller than the sum of its proper divisors (363747182448).

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

157259155536 is a wasteful number, since it uses less digits than its factorization.

157259155536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27711 (or 27696 counting only the distinct ones).

The product of its digits is 7087500, while the sum is 54.

The spelling of 157259155536 in words is "one hundred fifty-seven billion, two hundred fifty-nine million, one hundred fifty-five thousand, five hundred thirty-six".