136789920 has 72 divisors (see below), whose sum is σ = 466800516. Its totient is φ = 36476928.

The previous prime is 136789909. The next prime is 136789921. The reversal of 136789920 is 29987631.

It can be written as a sum of positive squares in 2 ways, for example, as 123743376 + 13046544 = 11124^2 + 3612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×136789920² = 37422964427212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (136789921) 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, 46057 + ... + 48936.

Almost surely, 2^136789920 is an apocalyptic number.

136789920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136789920 is an abundant number, since it is smaller than the sum of its proper divisors (330010596).

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

136789920 is a wasteful number, since it uses less digits than its factorization.

136789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95014 (or 95003 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 136789920 is about 11695.7222949248. The cubic root of 136789920 is about 515.2500372553.

The spelling of 136789920 in words is "one hundred thirty-six million, seven hundred eighty-nine thousand, nine hundred twenty".