147310800 has 480 divisors, whose sum is σ = 619960320. Its totient is φ = 29030400.

The previous prime is 147310789. The next prime is 147310811. The reversal of 147310800 is 8013741.

It is an interprime number because it is at equal distance from previous prime (147310789) and next prime (147310811).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2074765 + ... + 2074835.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^147310800 is an apocalyptic number.

147310800 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 147310800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309980160).

147310800 is an abundant number, since it is smaller than the sum of its proper divisors (472649520).

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

147310800 is a wasteful number, since it uses less digits than its factorization.

147310800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 147310800 is about 12137.1660613176. The cubic root of 147310800 is about 528.1348943678.

The spelling of 147310800 in words is "one hundred forty-seven million, three hundred ten thousand, eight hundred".