147850920 has 384 divisors, whose sum is σ = 594397440. Its totient is φ = 32348160.

The previous prime is 147850909. The next prime is 147850933. The reversal of 147850920 is 29058741.

147850920 = 1093² + 1094² + ... + 1204².

147850920 is a `hidden beast` number, since 147 + 8 + 509 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2789614 + ... + 2789666.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^147850920 is an apocalyptic number.

147850920 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 147850920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

147850920 is an abundant number, since it is smaller than the sum of its proper divisors (446546520).

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

147850920 is a wasteful number, since it uses less digits than its factorization.

147850920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 147850920 is about 12159.3963665965. The cubic root of 147850920 is about 528.7795818669.

The spelling of 147850920 in words is "one hundred forty-seven million, eight hundred fifty thousand, nine hundred twenty".