157196214000 has 1920 divisors, whose sum is σ = 709754572800. Its totient is φ = 33530112000.

The previous prime is 157196213971. The next prime is 157196214029. The reversal of 157196214000 is 412691751.

157196214000 is a `hidden beast` number, since 15 + 7 + 19 + 621 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157196213971) and next prime (157196214029).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3834053980 + ... + 3834054020.

It is an arithmetic number, because the mean of its divisors is an integer number (369663840).

Almost surely, 2^157196214000 is an apocalyptic number.

157196214000 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 157196214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354877286400).

157196214000 is an abundant number, since it is smaller than the sum of its proper divisors (552558358800).

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

157196214000 is an equidigital number, since it uses as much as digits as its factorization.

157196214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 157196214000 in words is "one hundred fifty-seven billion, one hundred ninety-six million, two hundred fourteen thousand".