136568640 has 224 divisors, whose sum is σ = 483388416. Its totient is φ = 32440320.

The previous prime is 136568617. The next prime is 136568669. The reversal of 136568640 is 46865631.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386704 + ... + 387056.

It is an arithmetic number, because the mean of its divisors is an integer number (2157984).

Almost surely, 2^136568640 is an apocalyptic number.

136568640 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 136568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241694208).

136568640 is an abundant number, since it is smaller than the sum of its proper divisors (346819776).

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

136568640 is a wasteful number, since it uses less digits than its factorization.

136568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 136568640 is about 11686.2585971730. The cubic root of 136568640 is about 514.9720536568.

The spelling of 136568640 in words is "one hundred thirty-six million, five hundred sixty-eight thousand, six hundred forty".