136745832960 has 400 divisors, whose sum is σ = 534314765952. Its totient is φ = 33149952000.

The previous prime is 136745832953. The next prime is 136745832961. The reversal of 136745832960 is 69238547631.

136745832960 is a `hidden beast` number, since 1 + 36 + 7 + 4 + 583 + 29 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 136745832897 and 136745832906.

It is not an unprimeable number, because it can be changed into a prime (136745832961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2250985 + ... + 2310935.

It is a 1-persistent number, because it is pandigital, but 2⋅136745832960 = 273491665920 is not.

Almost surely, 2^136745832960 is an apocalyptic number.

136745832960 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 136745832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267157382976).

136745832960 is an abundant number, since it is smaller than the sum of its proper divisors (397568932992).

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

136745832960 is an equidigital number, since it uses as much as digits as its factorization.

136745832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59997 (or 59972 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 136745832960 in words is "one hundred thirty-six billion, seven hundred forty-five million, eight hundred thirty-two thousand, nine hundred sixty".