152933400 has 192 divisors, whose sum is σ = 533299200. Its totient is φ = 40279680.

The previous prime is 152933387. The next prime is 152933419. The reversal of 152933400 is 4339251.

152933400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 685689 + ... + 685911.

It is an arithmetic number, because the mean of its divisors is an integer number (2777600).

Almost surely, 2^152933400 is an apocalyptic number.

152933400 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 152933400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266649600).

152933400 is an abundant number, since it is smaller than the sum of its proper divisors (380365800).

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

152933400 is a wasteful number, since it uses less digits than its factorization.

152933400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 152933400 is about 12366.6244383825. The cubic root of 152933400 is about 534.7705074467.

The spelling of 152933400 in words is "one hundred fifty-two million, nine hundred thirty-three thousand, four hundred".