145496607840 has 144 divisors (see below), whose sum is σ = 496615719600. Its totient is φ = 38790614016.

The previous prime is 145496607797. The next prime is 145496607863. The reversal of 145496607840 is 48706694541.

145496607840 is a `hidden beast` number, since 1 + 45 + 496 + 6 + 0 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 9307551 + ... + 9323169.

It is an arithmetic number, because the mean of its divisors is an integer number (3448720275).

Almost surely, 2^145496607840 is an apocalyptic number.

145496607840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145496607840 is an abundant number, since it is smaller than the sum of its proper divisors (351119111760).

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

145496607840 is a wasteful number, since it uses less digits than its factorization.

145496607840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22109 (or 22098 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 145496607840 in words is "one hundred forty-five billion, four hundred ninety-six million, six hundred seven thousand, eight hundred forty".