136903680 has 132 divisors (see below), whose sum is σ = 474527352. Its totient is φ = 36495360.

The previous prime is 136903667. The next prime is 136903687. The reversal of 136903680 is 86309631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136903687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44595 + ... + 47565.

Almost surely, 2^136903680 is an apocalyptic number.

136903680 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 136903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237263676).

136903680 is an abundant number, since it is smaller than the sum of its proper divisors (337623672).

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

136903680 is a wasteful number, since it uses less digits than its factorization.

136903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 136903680 is about 11700.5846007796. The cubic root of 136903680 is about 515.3928318972.

The spelling of 136903680 in words is "one hundred thirty-six million, nine hundred three thousand, six hundred eighty".