145332166090272 has 96 divisors (see below), whose sum is σ = 435999672041472. Its totient is φ = 41523173762304.

The previous prime is 145332166090271. The next prime is 145332166090283. The reversal of 145332166090272 is 272090661233541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×145332166090272² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145332166090271) 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 15 ways as a sum of consecutive naturals, for example, 101475223 + ... + 102897449.

It is an arithmetic number, because the mean of its divisors is an integer number (4541663250432).

Almost surely, 2^{145332166090272} is an apocalyptic number.

145332166090272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145332166090272 is an abundant number, since it is smaller than the sum of its proper divisors (290667505951200).

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

145332166090272 is a wasteful number, since it uses less digits than its factorization.

145332166090272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574310 (or 1574302 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 145332166090272 in words is "one hundred forty-five trillion, three hundred thirty-two billion, one hundred sixty-six million, ninety thousand, two hundred seventy-two".