145917616040 has 64 divisors (see below), whose sum is σ = 379085011200. Its totient is φ = 49513125888.

The previous prime is 145917615967. The next prime is 145917616129. The reversal of 145917616040 is 40616719541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 145917615982 and 145917616000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2659100 + ... + 2713419.

It is an arithmetic number, because the mean of its divisors is an integer number (5923203300).

Almost surely, 2^145917616040 is an apocalyptic number.

145917616040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145917616040 is an abundant number, since it is smaller than the sum of its proper divisors (233167395160).

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

145917616040 is a wasteful number, since it uses less digits than its factorization.

145917616040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372634 (or 5372630 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 145917616040 in words is "one hundred forty-five billion, nine hundred seventeen million, six hundred sixteen thousand, forty".