157918464000 has 1536 divisors, whose sum is σ = 667234713600. Its totient is φ = 36495360000.

The previous prime is 157918463971. The next prime is 157918464007. The reversal of 157918464000 is 464819751.

157918464000 is a `hidden beast` number, since 1 + 579 + 18 + 4 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157918464007) 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 127 ways as a sum of consecutive naturals, for example, 2356991967 + ... + 2356992033.

It is an arithmetic number, because the mean of its divisors is an integer number (434397600).

Almost surely, 2^157918464000 is an apocalyptic number.

157918464000 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 157918464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333617356800).

157918464000 is an abundant number, since it is smaller than the sum of its proper divisors (509316249600).

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

157918464000 is a wasteful number, since it uses less digits than its factorization.

157918464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 157918464000 in words is "one hundred fifty-seven billion, nine hundred eighteen million, four hundred sixty-four thousand".