145953720 has 96 divisors (see below), whose sum is σ = 517486320. Its totient is φ = 35381760.

The previous prime is 145953713. The next prime is 145953737. The reversal of 145953720 is 27359541.

145953720 is a `hidden beast` number, since 14 + 595 + 37 + 20 = 666.

145953720 is nontrivially palindromic in base 16.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14469 + ... + 22388.

Almost surely, 2^145953720 is an apocalyptic number.

145953720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145953720 is an abundant number, since it is smaller than the sum of its proper divisors (371532600).

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

145953720 is a wasteful number, since it uses less digits than its factorization.

145953720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36885 (or 36878 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 145953720 is about 12081.1307417808. The cubic root of 145953720 is about 526.5080991062.

The spelling of 145953720 in words is "one hundred forty-five million, nine hundred fifty-three thousand, seven hundred twenty".