54132156 has 144 divisors (see below), whose sum is σ = 158505984. Its totient is φ = 15447168.

The previous prime is 54132149. The next prime is 54132157. The reversal of 54132156 is 65123145.

Its product of digits (3600) is a multiple of the sum of its prime factors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54132157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505855 + ... + 505961.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^54132156 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 54132156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

54132156 is an abundant number, since it is smaller than the sum of its proper divisors (104373828).

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

54132156 is a wasteful number, since it uses less digits than its factorization.

54132156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

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

The square root of 54132156 is about 7357.4558102648. The cubic root of 54132156 is about 378.2844084474.

It can be divided in two parts, 5413 and 2156, that added together give a square (7569 = 87²).

The spelling of 54132156 in words is "fifty-four million, one hundred thirty-two thousand, one hundred fifty-six".