145289100 has 72 divisors (see below), whose sum is σ = 458595648. Its totient is φ = 35220800.

The previous prime is 145289099. The next prime is 145289107. The reversal of 145289100 is 1982541.

It is a happy number.

145289100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145289100² = 42217845157620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (145289107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18714 + ... + 25313.

It is an arithmetic number, because the mean of its divisors is an integer number (6369384).

Almost surely, 2^145289100 is an apocalyptic number.

145289100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145289100 is an abundant number, since it is smaller than the sum of its proper divisors (313306548).

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

145289100 is a wasteful number, since it uses less digits than its factorization.

145289100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44055 (or 44048 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 145289100 is about 12053.5928253778. The cubic root of 145289100 is about 525.7077077025.

The spelling of 145289100 in words is "one hundred forty-five million, two hundred eighty-nine thousand, one hundred".