157640414976 has 144 divisors (see below), whose sum is σ = 508549816320. Its totient is φ = 47769799680.

The previous prime is 157640414873. The next prime is 157640414977. The reversal of 157640414976 is 679414046751.

It is a happy number.

157640414976 is a `hidden beast` number, since 1 + 5 + 76 + 40 + 41 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157640414977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960640 + ... + 1112703.

Almost surely, 2^157640414976 is an apocalyptic number.

157640414976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157640414976 is an abundant number, since it is smaller than the sum of its proper divisors (350909401344).

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

157640414976 is a wasteful number, since it uses less digits than its factorization.

157640414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073379 (or 2073359 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 157640414976 in words is "one hundred fifty-seven billion, six hundred forty million, four hundred fourteen thousand, nine hundred seventy-six".