145616120 has 32 divisors (see below), whose sum is σ = 352840320. Its totient is φ = 53765760.

The previous prime is 145616111. The next prime is 145616123. The reversal of 145616120 is 21616541.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 145616120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145616123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139496 + ... + 140535.

It is an arithmetic number, because the mean of its divisors is an integer number (11026260).

Almost surely, 2^145616120 is an apocalyptic number.

145616120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145616120 is an abundant number, since it is smaller than the sum of its proper divisors (207224200).

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

145616120 is a wasteful number, since it uses less digits than its factorization.

145616120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280055 (or 280051 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 145616120 is about 12067.1504507071. The cubic root of 145616120 is about 526.1018370872.

It can be divided in two parts, 1456 and 16120, that added together give a cube (17576 = 26³).

The spelling of 145616120 in words is "one hundred forty-five million, six hundred sixteen thousand, one hundred twenty".