145091520 has 224 divisors, whose sum is σ = 585216000. Its totient is φ = 33149952.

The previous prime is 145091519. The next prime is 145091537. The reversal of 145091520 is 25190541.

145091520 is a `hidden beast` number, since 1 + 4 + 50 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 59281 + ... + 61679.

Almost surely, 2^145091520 is an apocalyptic number.

145091520 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 145091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292608000).

145091520 is an abundant number, since it is smaller than the sum of its proper divisors (440124480).

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

145091520 is a wasteful number, since it uses less digits than its factorization.

145091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 145091520 is about 12045.3941405003. The cubic root of 145091520 is about 525.4692946608.

The spelling of 145091520 in words is "one hundred forty-five million, ninety-one thousand, five hundred twenty".