134859707970624 has 1680 divisors, whose sum is σ = 534535562880000. Its totient is φ = 33473927725056.

The previous prime is 134859707970563. The next prime is 134859707970649. The reversal of 134859707970624 is 426079707958431.

134859707970624 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 597 + 0 + 7 + 9 + 7 + 0 + 6 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5108502577 + ... + 5108528975.

It is a 1-persistent number, because it is pandigital, but 2⋅134859707970624 = 269719415941248 is not.

Almost surely, 2^{134859707970624} is an apocalyptic number.

134859707970624 is a gapful number since it is divisible by the number (14) 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 134859707970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267267781440000).

134859707970624 is an abundant number, since it is smaller than the sum of its proper divisors (399675854909376).

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

134859707970624 is a wasteful number, since it uses less digits than its factorization.

134859707970624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26487 (or 26441 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 134859707970624 in words is "one hundred thirty-four trillion, eight hundred fifty-nine billion, seven hundred seven million, nine hundred seventy thousand, six hundred twenty-four".