136457568 has 96 divisors (see below), whose sum is σ = 428652000. Its totient is φ = 41983488.

The previous prime is 136457507. The next prime is 136457579. The reversal of 136457568 is 865754631.

136457568 is a `hidden beast` number, since 1 + 36 + 4 + 57 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5158 + ... + 17306.

It is an arithmetic number, because the mean of its divisors is an integer number (4465125).

Almost surely, 2^136457568 is an apocalyptic number.

136457568 is a gapful number since it is divisible by the number (18) 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 136457568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214326000).

136457568 is an abundant number, since it is smaller than the sum of its proper divisors (292194432).

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

136457568 is a wasteful number, since it uses less digits than its factorization.

136457568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12181 (or 12167 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 136457568 is about 11681.5053824411. The cubic root of 136457568 is about 514.8324059561.

The spelling of 136457568 in words is "one hundred thirty-six million, four hundred fifty-seven thousand, five hundred sixty-eight".