136872960 has 352 divisors, whose sum is σ = 534512640. Its totient is φ = 29196288.

The previous prime is 136872949. The next prime is 136872971. The reversal of 136872960 is 69278631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136872949) and next prime (136872971).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2042847 + ... + 2042913.

Almost surely, 2^136872960 is an apocalyptic number.

136872960 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 136872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267256320).

136872960 is an abundant number, since it is smaller than the sum of its proper divisors (397639680).

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

136872960 is a wasteful number, since it uses less digits than its factorization.

136872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 136872960 is about 11699.2717722087. The cubic root of 136872960 is about 515.3542791176.

The spelling of 136872960 in words is "one hundred thirty-six million, eight hundred seventy-two thousand, nine hundred sixty".