136375668000 has 1152 divisors, whose sum is σ = 579537504000. Its totient is φ = 29933568000.

The previous prime is 136375667993. The next prime is 136375668043. The reversal of 136375668000 is 866573631.

136375668000 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 7 + 566 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 303731776 + ... + 303732224.

It is an arithmetic number, because the mean of its divisors is an integer number (503070750).

Almost surely, 2^136375668000 is an apocalyptic number.

136375668000 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 136375668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289768752000).

136375668000 is an abundant number, since it is smaller than the sum of its proper divisors (443161836000).

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

136375668000 is a wasteful number, since it uses less digits than its factorization.

136375668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 136375668000 in words is "one hundred thirty-six billion, three hundred seventy-five million, six hundred sixty-eight thousand".