157014950400 has 1440 divisors, whose sum is σ = 724432490496. Its totient is φ = 31518720000.

The previous prime is 157014950387. The next prime is 157014950437. The reversal of 157014950400 is 4059410751.

157014950400 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 149 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×157014950400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 274982115 + ... + 274982685.

Almost surely, 2^157014950400 is an apocalyptic number.

157014950400 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 157014950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362216245248).

157014950400 is an abundant number, since it is smaller than the sum of its proper divisors (567417540096).

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

157014950400 is a wasteful number, since it uses less digits than its factorization.

157014950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 157014950400 in words is "one hundred fifty-seven billion, fourteen million, nine hundred fifty thousand, four hundred".