145147096512 has 336 divisors, whose sum is σ = 464859892224. Its totient is φ = 42923520000.

The previous prime is 145147096481. The next prime is 145147096531. The reversal of 145147096512 is 215690741541.

145147096512 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 47 + 0 + 96 + 512 = 666.

It is a super-2 number, since 2×145147096512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178972587 + ... + 178973397.

It is an arithmetic number, because the mean of its divisors is an integer number (1383511584).

Almost surely, 2^145147096512 is an apocalyptic number.

145147096512 is a gapful number since it is divisible by the number (12) 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 145147096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232429946112).

145147096512 is an abundant number, since it is smaller than the sum of its proper divisors (319712795712).

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

145147096512 is a wasteful number, since it uses less digits than its factorization.

145147096512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 145147096512 in words is "one hundred forty-five billion, one hundred forty-seven million, ninety-six thousand, five hundred twelve".