145706705172 has 180 divisors, whose sum is σ = 443599811424. Its totient is φ = 41583054240.

The previous prime is 145706705153. The next prime is 145706705189. The reversal of 145706705172 is 271507607541.

145706705172 is a `hidden beast` number, since 1 + 4 + 5 + 70 + 67 + 0 + 517 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15347347 + ... + 15356837.

Almost surely, 2^145706705172 is an apocalyptic number.

145706705172 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 145706705172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221799905712).

145706705172 is an abundant number, since it is smaller than the sum of its proper divisors (297893106252).

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

145706705172 is a wasteful number, since it uses less digits than its factorization.

145706705172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10488 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 145706705172 in words is "one hundred forty-five billion, seven hundred six million, seven hundred five thousand, one hundred seventy-two".