157034981376 has 576 divisors, whose sum is σ = 561936735360. Its totient is φ = 41140224000.

The previous prime is 157034981359. The next prime is 157034981423. The reversal of 157034981376 is 673189430751.

157034981376 is a `hidden beast` number, since 1 + 5 + 70 + 3 + 498 + 13 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421005126 + ... + 421005498.

It is an arithmetic number, because the mean of its divisors is an integer number (975584610).

Almost surely, 2^157034981376 is an apocalyptic number.

157034981376 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 157034981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280968367680).

157034981376 is an abundant number, since it is smaller than the sum of its proper divisors (404901753984).

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

157034981376 is a wasteful number, since it uses less digits than its factorization.

157034981376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 157034981376 in words is "one hundred fifty-seven billion, thirty-four million, nine hundred eighty-one thousand, three hundred seventy-six".