145977120 has 96 divisors (see below), whose sum is σ = 510935040. Its totient is φ = 38926080.

The previous prime is 145977107. The next prime is 145977193. The reversal of 145977120 is 21779541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12576 + ... + 21215.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2^145977120 is an apocalyptic number.

145977120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145977120 is an abundant number, since it is smaller than the sum of its proper divisors (364957920).

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

145977120 is a wasteful number, since it uses less digits than its factorization.

145977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33815 (or 33801 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 145977120 is about 12082.0991553620. The cubic root of 145977120 is about 526.5362350367.

The spelling of 145977120 in words is "one hundred forty-five million, nine hundred seventy-seven thousand, one hundred twenty".