152361944 has 48 divisors (see below), whose sum is σ = 330951600. Its totient is φ = 64416384.

The previous prime is 152361941. The next prime is 152361961. The reversal of 152361944 is 449163251.

152361944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152361941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665222 + ... + 665450.

It is an arithmetic number, because the mean of its divisors is an integer number (6894825).

Almost surely, 2^152361944 is an apocalyptic number.

152361944 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 152361944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165475800).

152361944 is an abundant number, since it is smaller than the sum of its proper divisors (178589656).

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

152361944 is a wasteful number, since it uses less digits than its factorization.

152361944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 347 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 152361944 is about 12343.4980455299. The cubic root of 152361944 is about 534.1035956998.

The spelling of 152361944 in words is "one hundred fifty-two million, three hundred sixty-one thousand, nine hundred forty-four".