152348784 has 80 divisors (see below), whose sum is σ = 460803840. Its totient is φ = 42462720.

The previous prime is 152348767. The next prime is 152348809. The reversal of 152348784 is 487843251.

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 15 ways as a sum of consecutive naturals, for example, 8247 + ... + 19305.

It is an arithmetic number, because the mean of its divisors is an integer number (5760048).

Almost surely, 2^152348784 is an apocalyptic number.

152348784 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 152348784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230401920).

152348784 is an abundant number, since it is smaller than the sum of its proper divisors (308455056).

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

152348784 is a wasteful number, since it uses less digits than its factorization.

152348784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11118 (or 11112 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 152348784 is about 12342.9649598466. The cubic root of 152348784 is about 534.0882178316.

The spelling of 152348784 in words is "one hundred fifty-two million, three hundred forty-eight thousand, seven hundred eighty-four".