152748000 has 144 divisors (see below), whose sum is σ = 542230416. Its totient is φ = 40723200.

The previous prime is 152747999. The next prime is 152748019. The reversal of 152748000 is 847251.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33879 + ... + 38121.

It is an arithmetic number, because the mean of its divisors is an integer number (3765489).

Almost surely, 2^152748000 is an apocalyptic number.

152748000 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 152748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271115208).

152748000 is an abundant number, since it is smaller than the sum of its proper divisors (389482416).

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

152748000 is a wasteful number, since it uses less digits than its factorization.

152748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 152748000 is about 12359.1261827040. The cubic root of 152748000 is about 534.5543206536.

The spelling of 152748000 in words is "one hundred fifty-two million, seven hundred forty-eight thousand".