152364240 has 200 divisors, whose sum is σ = 604961280. Its totient is φ = 34815744.

The previous prime is 152364239. The next prime is 152364253. The reversal of 152364240 is 42463251.

152364240 is a `hidden beast` number, since 1 + 5 + 236 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43681 + ... + 47039.

Almost surely, 2^152364240 is an apocalyptic number.

152364240 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 152364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

152364240 is an abundant number, since it is smaller than the sum of its proper divisors (452597040).

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

152364240 is a wasteful number, since it uses less digits than its factorization.

152364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 152364240 is about 12343.5910496095. The cubic root of 152364240 is about 534.1062785563.

152364240 divided by its sum of digits (27) gives a triangular number (5643120 = T₃₃₅₉).

The spelling of 152364240 in words is "one hundred fifty-two million, three hundred sixty-four thousand, two hundred forty".