145752480 has 96 divisors (see below), whose sum is σ = 510148800. Its totient is φ = 38866176.

The previous prime is 145752473. The next prime is 145752527. The reversal of 145752480 is 84257541.

145752480 is a `hidden beast` number, since 1 + 4 + 57 + 524 + 80 = 666.

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12550 + ... + 21189.

It is an arithmetic number, because the mean of its divisors is an integer number (5314050).

Almost surely, 2^145752480 is an apocalyptic number.

145752480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145752480 is an abundant number, since it is smaller than the sum of its proper divisors (364396320).

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

145752480 is a wasteful number, since it uses less digits than its factorization.

145752480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33763 (or 33749 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 145752480 is about 12072.7991783182. The cubic root of 145752480 is about 526.2660058736.

The spelling of 145752480 in words is "one hundred forty-five million, seven hundred fifty-two thousand, four hundred eighty".