136971385538400 has 1152 divisors, whose sum is σ = 569861946501120. Its totient is φ = 31102755840000.

The previous prime is 136971385538399. The next prime is 136971385538423. The reversal of 136971385538400 is 4835583179631.

136971385538400 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 7 + 1 + 38 + 553 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×136971385538400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35604725277 + ... + 35604729123.

It is an arithmetic number, because the mean of its divisors is an integer number (494671828560).

Almost surely, 2^{136971385538400} is an apocalyptic number.

136971385538400 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 136971385538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284930973250560).

136971385538400 is an abundant number, since it is smaller than the sum of its proper divisors (432890560962720).

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

136971385538400 is a wasteful number, since it uses less digits than its factorization.

136971385538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 136971385538400 in words is "one hundred thirty-six trillion, nine hundred seventy-one billion, three hundred eighty-five million, five hundred thirty-eight thousand, four hundred".