145117460772 has 36 divisors (see below), whose sum is σ = 378657750016. Its totient is φ = 46812083760.

The previous prime is 145117460771. The next prime is 145117460773. The reversal of 145117460772 is 277064711541.

145117460772 is a `hidden beast` number, since 1 + 4 + 5 + 117 + 460 + 7 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (145117460771) and next prime (145117460773).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (145117460771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65015668 + ... + 65017899.

Almost surely, 2^145117460772 is an apocalyptic number.

145117460772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145117460772 is an abundant number, since it is smaller than the sum of its proper divisors (233540289244).

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

145117460772 is a wasteful number, since it uses less digits than its factorization.

145117460772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130033608 (or 130033603 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 145117460772 in words is "one hundred forty-five billion, one hundred seventeen million, four hundred sixty thousand, seven hundred seventy-two".