54137952 has 144 divisors (see below), whose sum is σ = 175488768. Its totient is φ = 15671040.

The previous prime is 54137921. The next prime is 54137953. The reversal of 54137952 is 25973145.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54137953) 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, 72493 + ... + 73235.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^54137952 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 54137952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

54137952 is an abundant number, since it is smaller than the sum of its proper divisors (121350816).

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

54137952 is a wasteful number, since it uses less digits than its factorization.

54137952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 54137952 is about 7357.8496858797. The cubic root of 54137952 is about 378.2979090993.

The spelling of 54137952 in words is "fifty-four million, one hundred thirty-seven thousand, nine hundred fifty-two".