136867920 has 160 divisors (see below), whose sum is σ = 488325888. Its totient is φ = 31064064.

The previous prime is 136867909. The next prime is 136867937. The reversal of 136867920 is 29768631.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 431602 + ... + 431918.

Almost surely, 2^136867920 is an apocalyptic number.

136867920 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 136867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244162944).

136867920 is an abundant number, since it is smaller than the sum of its proper divisors (351457968).

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

136867920 is a wasteful number, since it uses less digits than its factorization.

136867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 136867920 is about 11699.0563722037. The cubic root of 136867920 is about 515.3479535014.

The spelling of 136867920 in words is "one hundred thirty-six million, eight hundred sixty-seven thousand, nine hundred twenty".