145959520 has 120 divisors (see below), whose sum is σ = 415984464. Its totient is φ = 47409408.

The previous prime is 145959497. The next prime is 145959533. The reversal of 145959520 is 25959541.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 19 ways as a sum of consecutive naturals, for example, 7682071 + ... + 7682089.

Almost surely, 2^145959520 is an apocalyptic number.

145959520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145959520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207992232).

145959520 is an abundant number, since it is smaller than the sum of its proper divisors (270024944).

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

145959520 is an frugal number, since it uses more digits than its factorization.

145959520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 40.

The square root of 145959520 is about 12081.3707831521. The cubic root of 145959520 is about 526.5150732496.

The spelling of 145959520 in words is "one hundred forty-five million, nine hundred fifty-nine thousand, five hundred twenty".