136972800 has 360 divisors, whose sum is σ = 519458940. Its totient is φ = 34406400.

The previous prime is 136972789. The next prime is 136972811. The reversal of 136972800 is 8279631.

It is an interprime number because it is at equal distance from previous prime (136972789) and next prime (136972811).

It can be written as a sum of positive squares in 6 ways, for example, as 18249984 + 118722816 = 4272^2 + 10896^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3340780 + ... + 3340820.

Almost surely, 2^136972800 is an apocalyptic number.

136972800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259729470).

136972800 is an abundant number, since it is smaller than the sum of its proper divisors (382486140).

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

136972800 is a wasteful number, since it uses less digits than its factorization.

136972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 136972800 is about 11703.5379266271. The cubic root of 136972800 is about 515.4795545695.

The spelling of 136972800 in words is "one hundred thirty-six million, nine hundred seventy-two thousand, eight hundred".