2136914150400 has 396 divisors, whose sum is σ = 7758985875264. Its totient is φ = 561813504000.

The previous prime is 2136914150383. The next prime is 2136914150419. The reversal of 2136914150400 is 40514196312.

It is a happy number.

2136914150400 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 9 + 141 + 504 + 0 + 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 35 ways as a sum of consecutive naturals, for example, 16293085 + ... + 16423715.

Almost surely, 2^{2136914150400} is an apocalyptic number.

2136914150400 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 2136914150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879492937632).

2136914150400 is an abundant number, since it is smaller than the sum of its proper divisors (5622071724864).

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

2136914150400 is a wasteful number, since it uses less digits than its factorization.

2136914150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130738 (or 130712 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2136914150400 in words is "two trillion, one hundred thirty-six billion, nine hundred fourteen million, one hundred fifty thousand, four hundred".