145819520 has 192 divisors, whose sum is σ = 439538400. Its totient is φ = 45281280.

The previous prime is 145819519. The next prime is 145819549. The reversal of 145819520 is 25918541.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541946 + ... + 542214.

Almost surely, 2^145819520 is an apocalyptic number.

145819520 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 145819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219769200).

145819520 is an abundant number, since it is smaller than the sum of its proper divisors (293718880).

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

145819520 is a wasteful number, since it uses less digits than its factorization.

145819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 145819520 is about 12075.5753486118. The cubic root of 145819520 is about 526.3466802360.

The spelling of 145819520 in words is "one hundred forty-five million, eight hundred nineteen thousand, five hundred twenty".