152533800 has 192 divisors, whose sum is σ = 537465600. Its totient is φ = 39744000.

The previous prime is 152533793. The next prime is 152533811. The reversal of 152533800 is 8335251.

152533800 is a `hidden beast` number, since 1 + 52 + 533 + 80 + 0 = 666.

152533800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253500 + ... + 254100.

It is an arithmetic number, because the mean of its divisors is an integer number (2799300).

Almost surely, 2^152533800 is an apocalyptic number.

152533800 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 152533800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268732800).

152533800 is an abundant number, since it is smaller than the sum of its proper divisors (384931800).

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

152533800 is a wasteful number, since it uses less digits than its factorization.

152533800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 152533800 is about 12350.4574814053. The cubic root of 152533800 is about 534.3043335301.

The spelling of 152533800 in words is "one hundred fifty-two million, five hundred thirty-three thousand, eight hundred".