54136656 has 120 divisors (see below), whose sum is σ = 177320000. Its totient is φ = 15095808.

The previous prime is 54136651. The next prime is 54136657. The reversal of 54136656 is 65663145.

54136656 is a `hidden beast` number, since 541 + 3 + 66 + 56 = 666.

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 54136656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54136651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42720 + ... + 43968.

Almost surely, 2^54136656 is an apocalyptic number.

54136656 is a gapful number since it is divisible by the number (56) 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 54136656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660000).

54136656 is an abundant number, since it is smaller than the sum of its proper divisors (123183344).

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

54136656 is a wasteful number, since it uses less digits than its factorization.

54136656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1304 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 54136656 is about 7357.7616161439. The cubic root of 54136656 is about 378.2948904037.

The spelling of 54136656 in words is "fifty-four million, one hundred thirty-six thousand, six hundred fifty-six".