145797520 has 80 divisors (see below), whose sum is σ = 378493632. Its totient is φ = 51770880.

The previous prime is 145797511. The next prime is 145797521. The reversal of 145797520 is 25797541.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (145797521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35914 + ... + 39766.

Almost surely, 2^145797520 is an apocalyptic number.

145797520 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 145797520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189246816).

145797520 is an abundant number, since it is smaller than the sum of its proper divisors (232696112).

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

145797520 is a wasteful number, since it uses less digits than its factorization.

145797520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 145797520 is about 12074.6643845699. The cubic root of 145797520 is about 526.3202086787.

The spelling of 145797520 in words is "one hundred forty-five million, seven hundred ninety-seven thousand, five hundred twenty".