152709386736 has 160 divisors (see below), whose sum is σ = 425361346560. Its totient is φ = 47057372928.

The previous prime is 152709386729. The next prime is 152709386761. The reversal of 152709386736 is 637683907251.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 14868675 + ... + 14878941.

It is an arithmetic number, because the mean of its divisors is an integer number (2658508416).

Almost surely, 2^152709386736 is an apocalyptic number.

152709386736 is a gapful number since it is divisible by the number (16) 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 152709386736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212680673280).

152709386736 is an abundant number, since it is smaller than the sum of its proper divisors (272651959824).

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

152709386736 is a wasteful number, since it uses less digits than its factorization.

152709386736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10691 (or 10685 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 152709386736 in words is "one hundred fifty-two billion, seven hundred nine million, three hundred eighty-six thousand, seven hundred thirty-six".