136825416 has 128 divisors (see below), whose sum is σ = 467846400. Its totient is φ = 36080640.

The previous prime is 136825391. The next prime is 136825427. The reversal of 136825416 is 614528631.

It is a happy number.

136825416 is a `hidden beast` number, since 1 + 36 + 82 + 541 + 6 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16176 + ... + 23136.

It is an arithmetic number, because the mean of its divisors is an integer number (3655050).

Almost surely, 2^136825416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136825416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233923200).

136825416 is an abundant number, since it is smaller than the sum of its proper divisors (331020984).

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

136825416 is a wasteful number, since it uses less digits than its factorization.

136825416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6986 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 136825416 is about 11697.2396743847. The cubic root of 136825416 is about 515.2946012932.

The spelling of 136825416 in words is "one hundred thirty-six million, eight hundred twenty-five thousand, four hundred sixteen".