152363040 has 192 divisors, whose sum is σ = 515725056. Its totient is φ = 37711872.

The previous prime is 152363039. The next prime is 152363053. The reversal of 152363040 is 40363251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 152363040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408294 + ... + 408666.

It is an arithmetic number, because the mean of its divisors is an integer number (2686068).

Almost surely, 2^152363040 is an apocalyptic number.

152363040 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 152363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257862528).

152363040 is an abundant number, since it is smaller than the sum of its proper divisors (363362016).

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

152363040 is a wasteful number, since it uses less digits than its factorization.

152363040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 152363040 is about 12343.5424412929. The cubic root of 152363040 is about 534.1048763699.

The spelling of 152363040 in words is "one hundred fifty-two million, three hundred sixty-three thousand, forty".