145152472709776 has 75 divisors (see below), whose sum is σ = 328090884093161. Its totient is φ = 62207190564288.

The previous prime is 145152472709759. The next prime is 145152472709791. The reversal of 145152472709776 is 677907274251541.

The square root of 145152472709776 is 12047924.

It is a perfect power (a square), and thus also a powerful number.

145152472709776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 131833476479376 + 13318996230400 = 11481876^2 + 3649520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2361362370 + ... + 2361423838.

Almost surely, 2^{145152472709776} is an apocalyptic number.

145152472709776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145152472709776 is the 12047924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145152472709776

145152472709776 is an abundant number, since it is smaller than the sum of its proper divisors (182938411383385).

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

145152472709776 is an frugal number, since it uses more digits than its factorization.

145152472709776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122974 (or 61478 counting only the distinct ones).

The product of its (nonzero) digits is 207446400, while the sum is 67.

The spelling of 145152472709776 in words is "one hundred forty-five trillion, one hundred fifty-two billion, four hundred seventy-two million, seven hundred nine thousand, seven hundred seventy-six".