136438428672 has 1056 divisors, whose sum is σ = 518540144640. Its totient is φ = 35115171840.

The previous prime is 136438428667. The next prime is 136438428701. The reversal of 136438428672 is 276824834631.

136438428672 is a `hidden beast` number, since 136 + 438 + 4 + 2 + 8 + 6 + 72 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1074318273 + ... + 1074318399.

Almost surely, 2^136438428672 is an apocalyptic number.

136438428672 is a gapful number since it is divisible by the number (12) 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 136438428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259270072320).

136438428672 is an abundant number, since it is smaller than the sum of its proper divisors (382101715968).

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

136438428672 is a wasteful number, since it uses less digits than its factorization.

136438428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 213 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 136438428672 in words is "one hundred thirty-six billion, four hundred thirty-eight million, four hundred twenty-eight thousand, six hundred seventy-two".