146615540 has 24 divisors (see below), whose sum is σ = 308129640. Its totient is φ = 58601088.

The previous prime is 146615519. The next prime is 146615563. The reversal of 146615540 is 45516641.

It can be written as a sum of positive squares in 4 ways, for example, as 11916304 + 134699236 = 3452^2 + 11606^2 .

It is a super-2 number, since 2×146615540² = 42992233138983200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146615497 and 146615506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38774 + ... + 42386.

It is an arithmetic number, because the mean of its divisors is an integer number (12838735).

Almost surely, 2^146615540 is an apocalyptic number.

146615540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146615540 is an abundant number, since it is smaller than the sum of its proper divisors (161514100).

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

146615540 is a wasteful number, since it uses less digits than its factorization.

146615540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 146615540 is about 12108.4904096258. The cubic root of 146615540 is about 527.3027076781.

The spelling of 146615540 in words is "one hundred forty-six million, six hundred fifteen thousand, five hundred forty".