152977240 has 64 divisors (see below), whose sum is σ = 380741760. Its totient is φ = 54950400.

The previous prime is 152977229. The next prime is 152977247. The reversal of 152977240 is 42779251.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 152977240.

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 15 ways as a sum of consecutive naturals, for example, 15265 + ... + 23215.

It is an arithmetic number, because the mean of its divisors is an integer number (5949090).

Almost surely, 2^152977240 is an apocalyptic number.

152977240 is a gapful number since it is divisible by the number (10) 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 152977240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190370880).

152977240 is an abundant number, since it is smaller than the sum of its proper divisors (227764520).

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

152977240 is a wasteful number, since it uses less digits than its factorization.

152977240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 152977240 is about 12368.3968241644. The cubic root of 152977240 is about 534.8216017994.

The spelling of 152977240 in words is "one hundred fifty-two million, nine hundred seventy-seven thousand, two hundred forty".