146924064 has 192 divisors, whose sum is σ = 518918400. Its totient is φ = 39481344.

The previous prime is 146924059. The next prime is 146924083. The reversal of 146924064 is 460429641.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 102102 + ... + 103530.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^146924064 is an apocalyptic number.

146924064 is a gapful number since it is divisible by the number (14) 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 146924064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

146924064 is an abundant number, since it is smaller than the sum of its proper divisors (371994336).

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

146924064 is a wasteful number, since it uses less digits than its factorization.

146924064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 146924064 is about 12121.2237006005. The cubic root of 146924064 is about 527.6723173397.

The spelling of 146924064 in words is "one hundred forty-six million, nine hundred twenty-four thousand, sixty-four".