157140713016000 has 896 divisors, whose sum is σ = 659578238392320. Its totient is φ = 35880551424000.

The previous prime is 157140713015989. The next prime is 157140713016059. The reversal of 157140713016000 is 610317041751.

It is a happy number.

157140713016000 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 40 + 7 + 1 + 3 + 0 + 1 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1468098484 + ... + 1468205516.

Almost surely, 2^{157140713016000} is an apocalyptic number.

157140713016000 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 157140713016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329789119196160).

157140713016000 is an abundant number, since it is smaller than the sum of its proper divisors (502437525376320).

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

157140713016000 is a wasteful number, since it uses less digits than its factorization.

157140713016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108047 (or 108021 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 157140713016000 in words is "one hundred fifty-seven trillion, one hundred forty billion, seven hundred thirteen million, sixteen thousand".