145412640 has 72 divisors (see below), whose sum is σ = 496225548. Its totient is φ = 38776320.

The previous prime is 145412633. The next prime is 145412651. The reversal of 145412640 is 46214541.

145412640 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 12 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121088016 + 24324624 = 11004^2 + 4932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×145412640² = 42289671743539200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49051 + ... + 51930.

Almost surely, 2^145412640 is an apocalyptic number.

145412640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145412640 is an abundant number, since it is smaller than the sum of its proper divisors (350812908).

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

145412640 is a wasteful number, since it uses less digits than its factorization.

145412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101002 (or 100991 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145412640 is about 12058.7163495954. The cubic root of 145412640 is about 525.8566693955.

The spelling of 145412640 in words is "one hundred forty-five million, four hundred twelve thousand, six hundred forty".