136290560 has 216 divisors, whose sum is σ = 396360216. Its totient is φ = 44728320.

The previous prime is 136290541. The next prime is 136290587. The reversal of 136290560 is 65092631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 133079296 = 1792^2 + 11536^2 .

It is a super-2 number, since 2×136290560² = 37150233490227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2571494 + ... + 2571546.

It is an arithmetic number, because the mean of its divisors is an integer number (1835001).

Almost surely, 2^136290560 is an apocalyptic number.

136290560 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 136290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198180108).

136290560 is an abundant number, since it is smaller than the sum of its proper divisors (260069656).

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

136290560 is an equidigital number, since it uses as much as digits as its factorization.

136290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 136290560 is about 11674.3548001592. The cubic root of 136290560 is about 514.6222887929.

The spelling of 136290560 in words is "one hundred thirty-six million, two hundred ninety thousand, five hundred sixty".