147913920 has 672 divisors, whose sum is σ = 684702720. Its totient is φ = 28385280.

The previous prime is 147913907. The next prime is 147913933. The reversal of 147913920 is 29319741.

It is an interprime number because it is at equal distance from previous prime (147913907) and next prime (147913933).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5100466 + ... + 5100494.

Almost surely, 2^147913920 is an apocalyptic number.

147913920 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 147913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342351360).

147913920 is an abundant number, since it is smaller than the sum of its proper divisors (536788800).

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

147913920 is a wasteful number, since it uses less digits than its factorization.

147913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 147913920 is about 12161.9866798151. The cubic root of 147913920 is about 528.8546763904.

The spelling of 147913920 in words is "one hundred forty-seven million, nine hundred thirteen thousand, nine hundred twenty".