147528000 has 224 divisors, whose sum is σ = 542056320. Its totient is φ = 39283200.

The previous prime is 147527993. The next prime is 147528001. The reversal of 147528000 is 825741.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147528001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215659 + ... + 216341.

Almost surely, 2^147528000 is an apocalyptic number.

147528000 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 147528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271028160).

147528000 is an abundant number, since it is smaller than the sum of its proper divisors (394528320).

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

147528000 is an equidigital number, since it uses as much as digits as its factorization.

147528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 693 counting only the distinct ones).

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

The square root of 147528000 is about 12146.1104885474. The cubic root of 147528000 is about 528.3943335203.

The spelling of 147528000 in words is "one hundred forty-seven million, five hundred twenty-eight thousand".