152977248 has 144 divisors (see below), whose sum is σ = 457906176. Its totient is φ = 50232960.

The previous prime is 152977247. The next prime is 152977261. The reversal of 152977248 is 842779251.

It is a happy number.

152977248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152977247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800833 + ... + 801023.

It is an arithmetic number, because the mean of its divisors is an integer number (3179904).

Almost surely, 2^152977248 is an apocalyptic number.

152977248 is a gapful number since it is divisible by the number (18) 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 152977248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228953088).

152977248 is an abundant number, since it is smaller than the sum of its proper divisors (304928928).

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

152977248 is a wasteful number, since it uses less digits than its factorization.

152977248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 152977248 is about 12368.3971475693. The cubic root of 152977248 is about 534.8216111223.

The spelling of 152977248 in words is "one hundred fifty-two million, nine hundred seventy-seven thousand, two hundred forty-eight".