55137600 has 252 divisors, whose sum is σ = 224377504. Its totient is φ = 12579840.

The previous prime is 55137587. The next prime is 55137629. The reversal of 55137600 is 673155.

55137600 is a `hidden beast` number, since 5 + 51 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

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, 100527 + ... + 101073.

Almost surely, 2^55137600 is an apocalyptic number.

55137600 is a gapful number since it is divisible by the number (50) 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 55137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112188752).

55137600 is an abundant number, since it is smaller than the sum of its proper divisors (169239904).

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

55137600 is a wasteful number, since it uses less digits than its factorization.

55137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 55137600 is about 7425.4696821144. The cubic root of 55137600 is about 380.6121251520.

The spelling of 55137600 in words is "fifty-five million, one hundred thirty-seven thousand, six hundred".