145277920 has 48 divisors (see below), whose sum is σ = 363415248. Its totient is φ = 54691840.

The previous prime is 145277917. The next prime is 145277953. The reversal of 145277920 is 29772541.

It is a super-2 number, since 2×145277920² = 42211348079052800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 145277920.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23986 + ... + 29425.

It is an arithmetic number, because the mean of its divisors is an integer number (7571151).

Almost surely, 2^145277920 is an apocalyptic number.

145277920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145277920 is an abundant number, since it is smaller than the sum of its proper divisors (218137328).

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

145277920 is a wasteful number, since it uses less digits than its factorization.

145277920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53443 (or 53435 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 145277920 is about 12053.1290543161. The cubic root of 145277920 is about 525.6942229494.

The spelling of 145277920 in words is "one hundred forty-five million, two hundred seventy-seven thousand, nine hundred twenty".