136963800 has 72 divisors (see below), whose sum is σ = 459976140. Its totient is φ = 36523200.

The previous prime is 136963787. The next prime is 136963807. The reversal of 136963800 is 8369631.

It is a happy number.

136963800 is a `hidden beast` number, since 13 + 6 + 9 + 638 + 0 + 0 = 666.

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

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 (136963807) 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 17 ways as a sum of consecutive naturals, for example, 36246 + ... + 39845.

Almost surely, 2^136963800 is an apocalyptic number.

136963800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136963800 is an abundant number, since it is smaller than the sum of its proper divisors (323012340).

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

136963800 is a wasteful number, since it uses less digits than its factorization.

136963800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76113 (or 76101 counting only the distinct ones).

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

The square root of 136963800 is about 11703.1534211938. The cubic root of 136963800 is about 515.4682642072.

The spelling of 136963800 in words is "one hundred thirty-six million, nine hundred sixty-three thousand, eight hundred".