135972600 has 48 divisors (see below), whose sum is σ = 421516920. Its totient is φ = 36259200.

The previous prime is 135972593. The next prime is 135972601. The reversal of 135972600 is 6279531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135972601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112711 + ... + 113910.

Almost surely, 2^135972600 is an apocalyptic number.

135972600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135972600 is an abundant number, since it is smaller than the sum of its proper divisors (285544320).

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

135972600 is a wasteful number, since it uses less digits than its factorization.

135972600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226640 (or 226631 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 135972600 is about 11660.7289652062. The cubic root of 135972600 is about 514.2217799711.

The spelling of 135972600 in words is "one hundred thirty-five million, nine hundred seventy-two thousand, six hundred".