152949600 has 288 divisors, whose sum is σ = 566526240. Its totient is φ = 39813120.

The previous prime is 152949571. The next prime is 152949613. The reversal of 152949600 is 6949251.

152949600 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 49 + 600 = 666.

152949600 is digitally balanced in base 3, 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 (288).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576752 + ... + 1576848.

It is an arithmetic number, because the mean of its divisors is an integer number (1967105).

Almost surely, 2^152949600 is an apocalyptic number.

152949600 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 152949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283263120).

152949600 is an abundant number, since it is smaller than the sum of its proper divisors (413576640).

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

152949600 is a wasteful number, since it uses less digits than its factorization.

152949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 152949600 is about 12367.2794097975. The cubic root of 152949600 is about 534.7893892527.

The spelling of 152949600 in words is "one hundred fifty-two million, nine hundred forty-nine thousand, six hundred".