152738380533564 has 144 divisors (see below), whose sum is σ = 441575284340736. Its totient is φ = 43606805356800.

The previous prime is 152738380533547. The next prime is 152738380533587. The reversal of 152738380533564 is 465335083837251.

152738380533564 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 3 + 8 + 38 + 0 + 5 + 33 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2041073629 + ... + 2041148459.

It is an arithmetic number, because the mean of its divisors is an integer number (3066495030144).

Almost surely, 2^{152738380533564} is an apocalyptic number.

152738380533564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152738380533564 is an abundant number, since it is smaller than the sum of its proper divisors (288836903807172).

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

152738380533564 is a wasteful number, since it uses less digits than its factorization.

152738380533564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80816 (or 80811 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 152738380533564 in words is "one hundred fifty-two trillion, seven hundred thirty-eight billion, three hundred eighty million, five hundred thirty-three thousand, five hundred sixty-four".