146615040 has 432 divisors, whose sum is σ = 602652960. Its totient is φ = 32440320.

The previous prime is 146615033. The next prime is 146615047. The reversal of 146615040 is 40516641.

146615040 is a `hidden beast` number, since 1 + 4 + 6 + 615 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (146615033) and next prime (146615047).

It is a junction number, because it is equal to n+sod(n) for n = 146614995 and 146615013.

It is not an unprimeable number, because it can be changed into a prime (146615047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647316 + ... + 1647404.

It is an arithmetic number, because the mean of its divisors is an integer number (1395030).

Almost surely, 2^146615040 is an apocalyptic number.

146615040 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 146615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301326480).

146615040 is an abundant number, since it is smaller than the sum of its proper divisors (456037920).

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

146615040 is a wasteful number, since it uses less digits than its factorization.

146615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 146615040 is about 12108.4697629387. The cubic root of 146615040 is about 527.3021082608.

It can be divided in two parts, 14661 and 5040, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 146615040 in words is "one hundred forty-six million, six hundred fifteen thousand, forty".