145672261296 has 160 divisors (see below), whose sum is σ = 397228950720. Its totient is φ = 45930393600.

The previous prime is 145672261289. The next prime is 145672261313. The reversal of 145672261296 is 692162276541.

It is a happy number.

It is a super-2 number, since 2×145672261296² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78275406 + ... + 78277266.

It is an arithmetic number, because the mean of its divisors is an integer number (2482680942).

Almost surely, 2^145672261296 is an apocalyptic number.

145672261296 is a gapful number since it is divisible by the number (16) 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 145672261296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198614475360).

145672261296 is an abundant number, since it is smaller than the sum of its proper divisors (251556689424).

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

145672261296 is a wasteful number, since it uses less digits than its factorization.

145672261296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3009 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 145672261296 in words is "one hundred forty-five billion, six hundred seventy-two million, two hundred sixty-one thousand, two hundred ninety-six".