54955152 has 160 divisors (see below), whose sum is σ = 191059200. Its totient is φ = 14764032.

The previous prime is 54955141. The next prime is 54955171. The reversal of 54955152 is 25155945.

54955152 is a `hidden beast` number, since 54 + 9 + 551 + 52 = 666.

It is a super-3 number, since 3×54955152³ (a number of 24 digits) contains 333 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50874 + ... + 51942.

It is an arithmetic number, because the mean of its divisors is an integer number (1194120).

Almost surely, 2^54955152 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 54955152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95529600).

54955152 is an abundant number, since it is smaller than the sum of its proper divisors (136104048).

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

54955152 is a wasteful number, since it uses less digits than its factorization.

54955152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1098 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The square root of 54955152 is about 7413.1742189159. The cubic root of 54955152 is about 380.1918514150.

The spelling of 54955152 in words is "fifty-four million, nine hundred fifty-five thousand, one hundred fifty-two".