157976000 has 336 divisors, whose sum is σ = 505919232. Its totient is φ = 48384000.

The previous prime is 157975997. The next prime is 157976009. The reversal of 157976000 is 679751.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157976009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5095985 + ... + 5096015.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 2^157976000 is an apocalyptic number.

157976000 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 157976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

157976000 is an abundant number, since it is smaller than the sum of its proper divisors (347943232).

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

157976000 is a wasteful number, since it uses less digits than its factorization.

157976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 157976000 is about 12568.8503849795. The cubic root of 157976000 is about 540.5846434286.

The spelling of 157976000 in words is "one hundred fifty-seven million, nine hundred seventy-six thousand".