145131520 has 48 divisors (see below), whose sum is σ = 348255180. Its totient is φ = 58048512.

The previous prime is 145131479. The next prime is 145131529. The reversal of 145131520 is 25131541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 142468096 + 2663424 = 11936^2 + 1632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145131491 and 145131500.

It is not an unprimeable number, because it can be changed into a prime (145131529) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3154 + ... + 17326.

Almost surely, 2^145131520 is an apocalyptic number.

145131520 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 145131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174127590).

145131520 is an abundant number, since it is smaller than the sum of its proper divisors (203123660).

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

145131520 is an equidigital number, since it uses as much as digits as its factorization.

145131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 145131520 is about 12047.0544117639. The cubic root of 145131520 is about 525.5175787611.

The spelling of 145131520 in words is "one hundred forty-five million, one hundred thirty-one thousand, five hundred twenty".