146780040 has 256 divisors, whose sum is σ = 527523840. Its totient is φ = 32256000.

The previous prime is 146780017. The next prime is 146780059. The reversal of 146780040 is 40087641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695535 + ... + 695745.

It is an arithmetic number, because the mean of its divisors is an integer number (2060640).

Almost surely, 2^146780040 is an apocalyptic number.

146780040 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 146780040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263761920).

146780040 is an abundant number, since it is smaller than the sum of its proper divisors (380743800).

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

146780040 is a wasteful number, since it uses less digits than its factorization.

146780040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 146780040 is about 12115.2812596324. The cubic root of 146780040 is about 527.4998420221.

The spelling of 146780040 in words is "one hundred forty-six million, seven hundred eighty thousand, forty".