145271880 has 160 divisors (see below), whose sum is σ = 525987000. Its totient is φ = 35748864.

The previous prime is 145271857. The next prime is 145271899. The reversal of 145271880 is 88172541.

It can be written as a sum of positive squares in 4 ways, for example, as 40373316 + 104898564 = 6354^2 + 10242^2 .

It is a super-2 number, since 2×145271880² = 42207838237468800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40396 + ... + 43844.

Almost surely, 2^145271880 is an apocalyptic number.

145271880 is a gapful number since it is divisible by the number (10) 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 145271880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262993500).

145271880 is an abundant number, since it is smaller than the sum of its proper divisors (380715120).

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

145271880 is a wasteful number, since it uses less digits than its factorization.

145271880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 145271880 is about 12052.8784943681. The cubic root of 145271880 is about 525.6869375176.

The spelling of 145271880 in words is "one hundred forty-five million, two hundred seventy-one thousand, eight hundred eighty".