78137136 has 320 divisors, whose sum is σ = 292838400. Its totient is φ = 19595520.

The previous prime is 78137119. The next prime is 78137167. The reversal of 78137136 is 63173187.

It is a super-2 number, since 2×78137136² = 12210824044564992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 78137136.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2694370 + ... + 2694398.

It is an arithmetic number, because the mean of its divisors is an integer number (915120).

Almost surely, 2^78137136 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 78137136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146419200).

78137136 is an abundant number, since it is smaller than the sum of its proper divisors (214701264).

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

78137136 is a wasteful number, since it uses less digits than its factorization.

78137136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 78137136 is about 8839.5212540047. The cubic root of 78137136 is about 427.5161212757.

The spelling of 78137136 in words is "seventy-eight million, one hundred thirty-seven thousand, one hundred thirty-six".