146374920 has 192 divisors, whose sum is σ = 500048640. Its totient is φ = 37094400.

The previous prime is 146374903. The next prime is 146374931. The reversal of 146374920 is 29473641.

146374920 is a `hidden beast` number, since 14 + 637 + 4 + 9 + 2 + 0 = 666.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693615 + ... + 693825.

It is an arithmetic number, because the mean of its divisors is an integer number (2604420).

Almost surely, 2^146374920 is an apocalyptic number.

146374920 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 146374920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250024320).

146374920 is an abundant number, since it is smaller than the sum of its proper divisors (353673720).

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

146374920 is a wasteful number, since it uses less digits than its factorization.

146374920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 146374920 is about 12098.5503263821. The cubic root of 146374920 is about 527.0140864971.

The spelling of 146374920 in words is "one hundred forty-six million, three hundred seventy-four thousand, nine hundred twenty".