146935040 has 216 divisors, whose sum is σ = 434047488. Its totient is φ = 46632960.

The previous prime is 146935039. The next prime is 146935069. The reversal of 146935040 is 40539641.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 146934988 and 146935006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4739825 + ... + 4739855.

Almost surely, 2^146935040 is an apocalyptic number.

146935040 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 146935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217023744).

146935040 is an abundant number, since it is smaller than the sum of its proper divisors (287112448).

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

146935040 is an equidigital number, since it uses as much as digits as its factorization.

146935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 146935040 is about 12121.6764517124. The cubic root of 146935040 is about 527.6854569779.

The spelling of 146935040 in words is "one hundred forty-six million, nine hundred thirty-five thousand, forty".