136657920 has 352 divisors, whose sum is σ = 528224256. Its totient is φ = 29491200.

The previous prime is 136657919. The next prime is 136657921. The reversal of 136657920 is 29756631.

It is an interprime number because it is at equal distance from previous prime (136657919) and next prime (136657921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136657921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3333100 + ... + 3333140.

Almost surely, 2^136657920 is an apocalyptic number.

136657920 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 136657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264112128).

136657920 is an abundant number, since it is smaller than the sum of its proper divisors (391566336).

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

136657920 is a wasteful number, since it uses less digits than its factorization.

136657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 136657920 is about 11690.0778440522. The cubic root of 136657920 is about 515.0842480076.

The spelling of 136657920 in words is "one hundred thirty-six million, six hundred fifty-seven thousand, nine hundred twenty".