152377344 has 144 divisors (see below), whose sum is σ = 503390160. Its totient is φ = 43499520.

The previous prime is 152377343. The next prime is 152377349. The reversal of 152377344 is 443773251.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152377299 and 152377308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152377343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128434 + ... + 129614.

It is an arithmetic number, because the mean of its divisors is an integer number (3495765).

Almost surely, 2^152377344 is an apocalyptic number.

152377344 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 152377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251695080).

152377344 is an abundant number, since it is smaller than the sum of its proper divisors (351012816).

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

152377344 is a wasteful number, since it uses less digits than its factorization.

152377344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1193 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 152377344 is about 12344.1218399690. The cubic root of 152377344 is about 534.1215899532.

The spelling of 152377344 in words is "one hundred fifty-two million, three hundred seventy-seven thousand, three hundred forty-four".