540231136128 has 48 divisors (see below), whose sum is σ = 1554571371600. Its totient is φ = 180077044992.

The previous prime is 540231136079. The next prime is 540231136139. The reversal of 540231136128 is 821631132045.

540231136128 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 31 + 1 + 3 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×540231136128³ (a number of 36 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 540231136092 and 540231136101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 234474168 + ... + 234476471.

It is an arithmetic number, because the mean of its divisors is an integer number (32386903575).

Almost surely, 2^540231136128 is an apocalyptic number.

It is an amenable number.

540231136128 is an abundant number, since it is smaller than the sum of its proper divisors (1014340235472).

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

540231136128 is a wasteful number, since it uses less digits than its factorization.

540231136128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468950659 (or 468950644 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 540231136128 in words is "five hundred forty billion, two hundred thirty-one million, one hundred thirty-six thousand, one hundred twenty-eight".