152251000 has 64 divisors (see below), whose sum is σ = 388683360. Its totient is φ = 55360000.

The previous prime is 152250953. The next prime is 152251019. The reversal of 152251000 is 152251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4080 + ... + 17920.

Almost surely, 2^152251000 is an apocalyptic number.

152251000 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 152251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194341680).

152251000 is an abundant number, since it is smaller than the sum of its proper divisors (236432360).

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

152251000 is a wasteful number, since it uses less digits than its factorization.

152251000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13873 (or 13859 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 152251000 is about 12339.0032012315. The cubic root of 152251000 is about 533.9739264484.

152251000 divided by its reverse (152251) gives a cube (1000 = 10³).

It can be divided in two parts, 152 and 251000, that added together give a palindrome (251152).

The spelling of 152251000 in words is "one hundred fifty-two million, two hundred fifty-one thousand".