147952000 has 128 divisors (see below), whose sum is σ = 420713280. Its totient is φ = 50688000.

The previous prime is 147951989. The next prime is 147952027. The reversal of 147952000 is 259741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 147952000.

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, 111340 + ... + 112660.

Almost surely, 2^147952000 is an apocalyptic number.

147952000 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 147952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210356640).

147952000 is an abundant number, since it is smaller than the sum of its proper divisors (272761280).

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

147952000 is an equidigital number, since it uses as much as digits as its factorization.

147952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 147952000 is about 12163.5521127671. The cubic root of 147952000 is about 528.9000565189.

The spelling of 147952000 in words is "one hundred forty-seven million, nine hundred fifty-two thousand".