145261872 has 240 divisors, whose sum is σ = 504878400. Its totient is φ = 38836224.

The previous prime is 145261871. The next prime is 145261927. The reversal of 145261872 is 278162541.

It is a super-2 number, since 2×145261872² = 42202022913888768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145261871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839578 + ... + 839750.

It is an arithmetic number, because the mean of its divisors is an integer number (2103660).

Almost surely, 2^145261872 is an apocalyptic number.

145261872 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 145261872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252439200).

145261872 is an abundant number, since it is smaller than the sum of its proper divisors (359616528).

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

145261872 is a wasteful number, since it uses less digits than its factorization.

145261872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 145261872 is about 12052.4633166834. The cubic root of 145261872 is about 525.6748654504.

The spelling of 145261872 in words is "one hundred forty-five million, two hundred sixty-one thousand, eight hundred seventy-two".