136397952 has 128 divisors (see below), whose sum is σ = 409795200. Its totient is φ = 44651520.

The previous prime is 136397927. The next prime is 136397957. The reversal of 136397952 is 259793631.

136397952 is a `hidden beast` number, since 1 + 3 + 639 + 7 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 136397898 and 136397907.

It is not an unprimeable number, because it can be changed into a prime (136397957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210493 + ... + 211139.

It is an arithmetic number, because the mean of its divisors is an integer number (3201525).

Almost surely, 2^136397952 is an apocalyptic number.

136397952 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 136397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

136397952 is an abundant number, since it is smaller than the sum of its proper divisors (273397248).

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

136397952 is an equidigital number, since it uses as much as digits as its factorization.

136397952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 713 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 136397952 is about 11678.9533777646. The cubic root of 136397952 is about 514.7574211827.

The spelling of 136397952 in words is "one hundred thirty-six million, three hundred ninety-seven thousand, nine hundred fifty-two".