54737136 has 60 divisors (see below), whose sum is σ = 154945440. Its totient is φ = 18036480.

The previous prime is 54737113. The next prime is 54737143. The reversal of 54737136 is 63173745.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54737136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10681 + ... + 14951.

It is an arithmetic number, because the mean of its divisors is an integer number (2582424).

Almost surely, 2^54737136 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 54737136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77472720).

54737136 is an abundant number, since it is smaller than the sum of its proper divisors (100208304).

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

54737136 is a wasteful number, since it uses less digits than its factorization.

54737136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4365 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 54737136 is about 7398.4549738442. The cubic root of 54737136 is about 379.6884241912.

The spelling of 54737136 in words is "fifty-four million, seven hundred thirty-seven thousand, one hundred thirty-six".