147475680 has 384 divisors, whose sum is σ = 564350976. Its totient is φ = 31948800.

The previous prime is 147475661. The next prime is 147475703. The reversal of 147475680 is 86574741.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2782534 + ... + 2782586.

It is an arithmetic number, because the mean of its divisors is an integer number (1469664).

Almost surely, 2^147475680 is an apocalyptic number.

147475680 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 147475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282175488).

147475680 is an abundant number, since it is smaller than the sum of its proper divisors (416875296).

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

147475680 is a wasteful number, since it uses less digits than its factorization.

147475680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 147475680 is about 12143.9565216613. The cubic root of 147475680 is about 528.3318620792.

The spelling of 147475680 in words is "one hundred forty-seven million, four hundred seventy-five thousand, six hundred eighty".