136613952 has 210 divisors, whose sum is σ = 433257198. Its totient is φ = 42550272.

The previous prime is 136613941. The next prime is 136613963. The reversal of 136613952 is 259316631.

136613952 is a `hidden beast` number, since 1 + 36 + 613 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (136613941) and next prime (136613963).

It can be written as a sum of positive squares in only one way, i.e., 119771136 + 16842816 = 10944^2 + 4104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (29160) is a multiple of the sum of its prime factors (135).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1871388 + ... + 1871460.

Almost surely, 2^136613952 is an apocalyptic number.

136613952 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 136613952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216628599).

136613952 is an abundant number, since it is smaller than the sum of its proper divisors (296643246).

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

136613952 is an equidigital number, since it uses as much as digits as its factorization.

136613952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 136613952 is about 11688.1971235944. The cubic root of 136613952 is about 515.0290014145.

The spelling of 136613952 in words is "one hundred thirty-six million, six hundred thirteen thousand, nine hundred fifty-two".