157140559440 has 480 divisors, whose sum is σ = 605281200000. Its totient is φ = 37360631808.

The previous prime is 157140559403. The next prime is 157140559463. The reversal of 157140559440 is 44955041751.

157140559440 is a `hidden beast` number, since 1 + 5 + 7 + 14 + 0 + 5 + 594 + 40 = 666.

It is a super-2 number, since 2×157140559440² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11853936 + ... + 11867184.

It is an arithmetic number, because the mean of its divisors is an integer number (1261002500).

Almost surely, 2^157140559440 is an apocalyptic number.

157140559440 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 157140559440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302640600000).

157140559440 is an abundant number, since it is smaller than the sum of its proper divisors (448140640560).

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

157140559440 is a wasteful number, since it uses less digits than its factorization.

157140559440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13324 (or 13295 counting only the distinct ones).

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

The spelling of 157140559440 in words is "one hundred fifty-seven billion, one hundred forty million, five hundred fifty-nine thousand, four hundred forty".