145109880 has 96 divisors (see below), whose sum is σ = 489106800. Its totient is φ = 38693376.

The previous prime is 145109849. The next prime is 145109903. The reversal of 145109880 is 88901541.

It is a super-2 number, since 2×145109880² = 42113754547228800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2256 + ... + 17184.

Almost surely, 2^145109880 is an apocalyptic number.

145109880 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 145109880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244553400).

145109880 is an abundant number, since it is smaller than the sum of its proper divisors (343996920).

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

145109880 is a wasteful number, since it uses less digits than its factorization.

145109880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14955 (or 14939 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 145109880 is about 12046.1562334215. The cubic root of 145109880 is about 525.4914581645.

The spelling of 145109880 in words is "one hundred forty-five million, one hundred nine thousand, eight hundred eighty".