147856320 has 224 divisors, whose sum is σ = 529742400. Its totient is φ = 38817792.

The previous prime is 147856307. The next prime is 147856333. The reversal of 147856320 is 23658741.

147856320 is a `hidden beast` number, since 1 + 4 + 78 + 563 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (147856307) and next prime (147856333).

It is a super-2 number, since 2×147856320² = 43722982727884800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941682 + ... + 941838.

Almost surely, 2^147856320 is an apocalyptic number.

147856320 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 147856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264871200).

147856320 is an abundant number, since it is smaller than the sum of its proper divisors (381886080).

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

147856320 is a wasteful number, since it uses less digits than its factorization.

147856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 147856320 is about 12159.6184150655. The cubic root of 147856320 is about 528.7860193761.

The spelling of 147856320 in words is "one hundred forty-seven million, eight hundred fifty-six thousand, three hundred twenty".