145526720 has 56 divisors (see below), whose sum is σ = 348496128. Its totient is φ = 57881600.

The previous prime is 145526713. The next prime is 145526723. The reversal of 145526720 is 27625541.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145526723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59930 + ... + 62310.

Almost surely, 2^145526720 is an apocalyptic number.

145526720 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 145526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174248064).

145526720 is an abundant number, since it is smaller than the sum of its proper divisors (202969408).

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

145526720 is a wasteful number, since it uses less digits than its factorization.

145526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 145526720 is about 12063.4456106040. The cubic root of 145526720 is about 525.9941495299.

The spelling of 145526720 in words is "one hundred forty-five million, five hundred twenty-six thousand, seven hundred twenty".