136147021699104 has 960 divisors, whose sum is σ = 465926053824000. Its totient is φ = 38650294222848.

The previous prime is 136147021699067. The next prime is 136147021699109. The reversal of 136147021699104 is 401996120741631.

136147021699104 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 470 + 2 + 1 + 69 + 9 + 104 = 666.

It is a super-2 number, since 2×136147021699104² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (136147021699109) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29285224972 + ... + 29285229620.

It is an arithmetic number, because the mean of its divisors is an integer number (485339639400).

Almost surely, 2^{136147021699104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136147021699104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232963026912000).

136147021699104 is an abundant number, since it is smaller than the sum of its proper divisors (329779032124896).

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

136147021699104 is a wasteful number, since it uses less digits than its factorization.

136147021699104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6039 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 136147021699104 in words is "one hundred thirty-six trillion, one hundred forty-seven billion, twenty-one million, six hundred ninety-nine thousand, one hundred four".