540136915920 has 1280 divisors, whose sum is σ = 2332650700800. Its totient is φ = 112069509120.

The previous prime is 540136915867. The next prime is 540136915933. The reversal of 540136915920 is 29519631045.

540136915920 is a `hidden beast` number, since 5 + 40 + 13 + 6 + 9 + 1 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1127634241 + ... + 1127634719.

It is an arithmetic number, because the mean of its divisors is an integer number (1822383360).

Almost surely, 2^540136915920 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 540136915920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166325350400).

540136915920 is an abundant number, since it is smaller than the sum of its proper divisors (1792513784880).

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

540136915920 is a wasteful number, since it uses less digits than its factorization.

540136915920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 540136915920 in words is "five hundred forty billion, one hundred thirty-six million, nine hundred fifteen thousand, nine hundred twenty".