152754000 has 160 divisors (see below), whose sum is σ = 562987776. Its totient is φ = 34905600.

The previous prime is 152753999. The next prime is 152754011. The reversal of 152754000 is 457251.

152754000 is digitally balanced in base 3, 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 (24).

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 31 ways as a sum of consecutive naturals, for example, 40182 + ... + 43818.

Almost surely, 2^152754000 is an apocalyptic number.

152754000 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 152754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281493888).

152754000 is an abundant number, since it is smaller than the sum of its proper divisors (410233776).

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

152754000 is a wasteful number, since it uses less digits than its factorization.

152754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 152754000 is about 12359.3689159277. The cubic root of 152754000 is about 534.5613197282.

The spelling of 152754000 in words is "one hundred fifty-two million, seven hundred fifty-four thousand".