540053136 has 160 divisors (see below), whose sum is σ = 1780838400. Its totient is φ = 153498240.

The previous prime is 540053113. The next prime is 540053141. The reversal of 540053136 is 631350045.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 819175 + ... + 819833.

It is an arithmetic number, because the mean of its divisors is an integer number (11130240).

Almost surely, 2^540053136 is an apocalyptic number.

540053136 is a gapful number since it is divisible by the number (56) 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 540053136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890419200).

540053136 is an abundant number, since it is smaller than the sum of its proper divisors (1240785264).

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

540053136 is a wasteful number, since it uses less digits than its factorization.

540053136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 540053136 is about 23239.0433538044. The cubic root of 540053136 is about 814.3519939718.

The spelling of 540053136 in words is "five hundred forty million, fifty-three thousand, one hundred thirty-six".