136953972 has 36 divisors (see below), whose sum is σ = 366554916. Its totient is φ = 42965760.

The previous prime is 136953953. The next prime is 136953977. The reversal of 136953972 is 279359631.

136953972 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36433296 + 100520676 = 6036^2 + 10026^2 .

It is a tau number, because it is divible by the number of its divisors (36).

136953972 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136953977) 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, 111279 + ... + 112502.

It is an arithmetic number, because the mean of its divisors is an integer number (10182081).

Almost surely, 2^136953972 is an apocalyptic number.

136953972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136953972 is an abundant number, since it is smaller than the sum of its proper divisors (229600944).

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

136953972 is a wasteful number, since it uses less digits than its factorization.

136953972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223808 (or 223803 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 136953972 is about 11702.7335268304. The cubic root of 136953972 is about 515.4559345666.

The spelling of 136953972 in words is "one hundred thirty-six million, nine hundred fifty-three thousand, nine hundred seventy-two".