152052000 has 96 divisors (see below), whose sum is σ = 498161664. Its totient is φ = 40544000.

The previous prime is 152051989. The next prime is 152052007. The reversal of 152052000 is 250251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (152052007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5665 + ... + 18335.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184).

Almost surely, 2^152052000 is an apocalyptic number.

152052000 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 152052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249080832).

152052000 is an abundant number, since it is smaller than the sum of its proper divisors (346109664).

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

152052000 is a wasteful number, since it uses less digits than its factorization.

152052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12699 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 152052000 is about 12330.9367040789. The cubic root of 152052000 is about 533.7411810889.

It can be divided in two parts, 15205 and 2000, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 152052000 in words is "one hundred fifty-two million, fifty-two thousand".