145431513744 has 80 divisors (see below), whose sum is σ = 410636884224. Its totient is φ = 43985808000.

The previous prime is 145431513727. The next prime is 145431513757. The reversal of 145431513744 is 447315134541.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145431513696 and 145431513705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12819 + ... + 539469.

Almost surely, 2^145431513744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145431513744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205318442112).

145431513744 is an abundant number, since it is smaller than the sum of its proper divisors (265205370480).

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

145431513744 is a wasteful number, since it uses less digits than its factorization.

145431513744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527196 (or 527190 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The spelling of 145431513744 in words is "one hundred forty-five billion, four hundred thirty-one million, five hundred thirteen thousand, seven hundred forty-four".