213157152000 has 1296 divisors, whose sum is σ = 881902253232. Its totient is φ = 49132339200.

The previous prime is 213157151993. The next prime is 213157152029. The reversal of 213157152000 is 251751312.

213157152000 is a `hidden beast` number, since 2 + 131 + 5 + 7 + 1 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 144923353344 + 68233798656 = 380688^2 + 261216^2 .

It is a super-2 number, since 2×213157152000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1082015902 + ... + 1082016098.

Almost surely, 2^213157152000 is an apocalyptic number.

213157152000 is a gapful number since it is divisible by the number (20) 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 213157152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440951126616).

213157152000 is an abundant number, since it is smaller than the sum of its proper divisors (668745101232).

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

213157152000 is a wasteful number, since it uses less digits than its factorization.

213157152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 213157152000 in words is "two hundred thirteen billion, one hundred fifty-seven million, one hundred fifty-two thousand".