145440576 has 112 divisors (see below), whose sum is σ = 452810880. Its totient is φ = 45619200.

The previous prime is 145440563. The next prime is 145440619. The reversal of 145440576 is 675044541.

145440576 = T₄₁₂₈ + T₄₁₂₉ + ... + T₄₁₄₄.

145440576 is a `hidden beast` number, since 1 + 45 + 4 + 40 + 576 = 666.

It is a super-2 number, since 2×145440576² = 42305922294423552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145440576.

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 15 ways as a sum of consecutive naturals, for example, 26901 + ... + 31851.

Almost surely, 2^145440576 is an apocalyptic number.

145440576 is a gapful number since it is divisible by the number (16) 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 145440576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226405440).

145440576 is an abundant number, since it is smaller than the sum of its proper divisors (307370304).

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

145440576 is a wasteful number, since it uses less digits than its factorization.

145440576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 145440576 is about 12059.8746262140. The cubic root of 145440576 is about 525.8903422850.

The spelling of 145440576 in words is "one hundred forty-five million, four hundred forty thousand, five hundred seventy-six".