136834170891264 has 880 divisors, whose sum is σ = 520280612121600. Its totient is φ = 34785067991040.

The previous prime is 136834170891233. The next prime is 136834170891343. The reversal of 136834170891264 is 462198071438631.

136834170891264 is a `hidden beast` number, since 1 + 3 + 6 + 83 + 417 + 0 + 89 + 1 + 2 + 64 = 666.

It is a super-2 number, since 2×136834170891264² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 299946412 + ... + 300402260.

It is an arithmetic number, because the mean of its divisors is an integer number (591227968320).

Almost surely, 2^{136834170891264} is an apocalyptic number.

136834170891264 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 136834170891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260140306060800).

136834170891264 is an abundant number, since it is smaller than the sum of its proper divisors (383446441230336).

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

136834170891264 is a wasteful number, since it uses less digits than its factorization.

136834170891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455946 (or 455919 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 136834170891264 in words is "one hundred thirty-six trillion, eight hundred thirty-four billion, one hundred seventy million, eight hundred ninety-one thousand, two hundred sixty-four".