147813120 has 576 divisors, whose sum is σ = 659312640. Its totient is φ = 30523392.

The previous prime is 147813049. The next prime is 147813139. The reversal of 147813120 is 21318741.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144937 + ... + 3144983.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^147813120 is an apocalyptic number.

147813120 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 147813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329656320).

147813120 is an abundant number, since it is smaller than the sum of its proper divisors (511499520).

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

147813120 is a wasteful number, since it uses less digits than its factorization.

147813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 147813120 is about 12157.8419137608. The cubic root of 147813120 is about 528.7345149129.

The spelling of 147813120 in words is "one hundred forty-seven million, eight hundred thirteen thousand, one hundred twenty".