157282164000 has 1152 divisors, whose sum is σ = 650241079488. Its totient is φ = 35654860800.

The previous prime is 157282163977. The next prime is 157282164001. The reversal of 157282164000 is 461282751.

157282164000 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 8 + 2 + 1 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 38414432016 + 118867731984 = 195996^2 + 344772^2 .

It is a super-2 number, since 2×157282164000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (157282164001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 421667814 + ... + 421668186.

Almost surely, 2^157282164000 is an apocalyptic number.

157282164000 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 157282164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325120539744).

157282164000 is an abundant number, since it is smaller than the sum of its proper divisors (492958915488).

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

157282164000 is a wasteful number, since it uses less digits than its factorization.

157282164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 157282164000 in words is "one hundred fifty-seven billion, two hundred eighty-two million, one hundred sixty-four thousand".