157151708064 has 672 divisors, whose sum is σ = 524738632320. Its totient is φ = 45973702656.

The previous prime is 157151708009. The next prime is 157151708083. The reversal of 157151708064 is 460807151751.

157151708064 is a `hidden beast` number, since 1 + 5 + 71 + 517 + 0 + 8 + 0 + 64 = 666.

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 111 ways as a sum of consecutive naturals, for example, 941028109 + ... + 941028275.

It is an arithmetic number, because the mean of its divisors is an integer number (780861060).

Almost surely, 2^157151708064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157151708064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262369316160).

157151708064 is an abundant number, since it is smaller than the sum of its proper divisors (367586924256).

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

157151708064 is a wasteful number, since it uses less digits than its factorization.

157151708064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 157151708064 in words is "one hundred fifty-seven billion, one hundred fifty-one million, seven hundred eight thousand, sixty-four".