157876992 has 288 divisors, whose sum is σ = 576898560. Its totient is φ = 41472000.

The previous prime is 157876987. The next prime is 157877003. The reversal of 157876992 is 299678751.

157876992 is a `hidden beast` number, since 1 + 578 + 7 + 69 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628867 + ... + 629117.

It is an arithmetic number, because the mean of its divisors is an integer number (2003120).

Almost surely, 2^157876992 is an apocalyptic number.

157876992 is a gapful number since it is divisible by the number (12) 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 157876992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288449280).

157876992 is an abundant number, since it is smaller than the sum of its proper divisors (419021568).

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

157876992 is a wasteful number, since it uses less digits than its factorization.

157876992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 157876992 is about 12564.9111417471. The cubic root of 157876992 is about 540.4716866301.

The spelling of 157876992 in words is "one hundred fifty-seven million, eight hundred seventy-six thousand, nine hundred ninety-two".