152117323764 has 96 divisors (see below), whose sum is σ = 421542912000. Its totient is φ = 41777700480.

The previous prime is 152117323691. The next prime is 152117323793. The reversal of 152117323764 is 467323711251.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 191967 + ... + 584025.

It is an arithmetic number, because the mean of its divisors is an integer number (4391072000).

Almost surely, 2^152117323764 is an apocalyptic number.

152117323764 is a gapful number since it is divisible by the number (14) 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 152117323764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210771456000).

152117323764 is an abundant number, since it is smaller than the sum of its proper divisors (269425588236).

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

152117323764 is a wasteful number, since it uses less digits than its factorization.

152117323764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392253 (or 392251 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The spelling of 152117323764 in words is "one hundred fifty-two billion, one hundred seventeen million, three hundred twenty-three thousand, seven hundred sixty-four".