55146600 has 72 divisors (see below), whose sum is σ = 185206710. Its totient is φ = 14705280.

The previous prime is 55146583. The next prime is 55146601. The reversal of 55146600 is 664155.

It is a happy number.

55146600 is a `hidden beast` number, since 5 + 51 + 4 + 6 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 51753636 + 3392964 = 7194^2 + 1842^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×55146600² = 6082294983120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55146601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13519 + ... + 17118.

Almost surely, 2^55146600 is an apocalyptic number.

55146600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55146600 is an abundant number, since it is smaller than the sum of its proper divisors (130060110).

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

55146600 is a wasteful number, since it uses less digits than its factorization.

55146600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30659 (or 30647 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55146600 is about 7426.0756796575. The cubic root of 55146600 is about 380.6328328769.

The spelling of 55146600 in words is "fifty-five million, one hundred forty-six thousand, six hundred".