136920672 has 96 divisors (see below), whose sum is σ = 456422400. Its totient is φ = 39118464.

The previous prime is 136920671. The next prime is 136920673. The reversal of 136920672 is 276029631.

136920672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136920671) and next prime (136920673).

It is a tau number, because it is divible by the number of its divisors (96).

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 (136920671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5272 + ... + 17367.

It is an arithmetic number, because the mean of its divisors is an integer number (4754400).

Almost surely, 2^136920672 is an apocalyptic number.

136920672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136920672 is an abundant number, since it is smaller than the sum of its proper divisors (319501728).

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

136920672 is a wasteful number, since it uses less digits than its factorization.

136920672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22665 (or 22651 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 136920672 is about 11701.3106958152. The cubic root of 136920672 is about 515.4141539262.

The spelling of 136920672 in words is "one hundred thirty-six million, nine hundred twenty thousand, six hundred seventy-two".