153052144 has 80 divisors (see below), whose sum is σ = 362119680. Its totient is φ = 61205760.

The previous prime is 153052127. The next prime is 153052157. The reversal of 153052144 is 441250351.

It is a happy number.

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, 150582 + ... + 151594.

It is an arithmetic number, because the mean of its divisors is an integer number (4526496).

Almost surely, 2^153052144 is an apocalyptic number.

153052144 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 153052144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

153052144 is an abundant number, since it is smaller than the sum of its proper divisors (209067536).

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

153052144 is a wasteful number, since it uses less digits than its factorization.

153052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 153052144 is about 12371.4244935658. The cubic root of 153052144 is about 534.9088778339.

The spelling of 153052144 in words is "one hundred fifty-three million, fifty-two thousand, one hundred forty-four".