152154000 has 240 divisors, whose sum is σ = 543179520. Its totient is φ = 39686400.

The previous prime is 152153971. The next prime is 152154049. The reversal of 152154000 is 451251.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1421947 + ... + 1422053.

It is an arithmetic number, because the mean of its divisors is an integer number (2263248).

Almost surely, 2^152154000 is an apocalyptic number.

152154000 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 152154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271589760).

152154000 is an abundant number, since it is smaller than the sum of its proper divisors (391025520).

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

152154000 is a wasteful number, since it uses less digits than its factorization.

152154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 152154000 is about 12335.0719495267. The cubic root of 152154000 is about 533.8605030565.

The spelling of 152154000 in words is "one hundred fifty-two million, one hundred fifty-four thousand".