157074540336 has 600 divisors, whose sum is σ = 553886703744. Its totient is φ = 42796615680.

The previous prime is 157074540323. The next prime is 157074540373. The reversal of 157074540336 is 633045470751.

157074540336 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 74 + 540 + 3 + 36 = 666.

It is a super-2 number, since 2×157074540336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157074540291 and 157074540300.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 143709006 + ... + 143710098.

Almost surely, 2^157074540336 is an apocalyptic number.

157074540336 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 157074540336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276943351872).

157074540336 is an abundant number, since it is smaller than the sum of its proper divisors (396812163408).

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

157074540336 is a wasteful number, since it uses less digits than its factorization.

157074540336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 157074540336 in words is "one hundred fifty-seven billion, seventy-four million, five hundred forty thousand, three hundred thirty-six".