152564261060540 has 96 divisors (see below), whose sum is σ = 366895328817024. Its totient is φ = 52201895915520.

The previous prime is 152564261060423. The next prime is 152564261060597. The reversal of 152564261060540 is 45060162465251.

It is a super-3 number, since 3×152564261060540³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

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, 731994584 + ... + 732202976.

It is an arithmetic number, because the mean of its divisors is an integer number (3821826341844).

Almost surely, 2^{152564261060540} is an apocalyptic number.

152564261060540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152564261060540 is an abundant number, since it is smaller than the sum of its proper divisors (214331067756484).

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

152564261060540 is a wasteful number, since it uses less digits than its factorization.

152564261060540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218967 (or 218965 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 152564261060540 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, two hundred sixty-one million, sixty thousand, five hundred forty".