145100920 has 64 divisors (see below), whose sum is σ = 345708000. Its totient is φ = 54716928.

The previous prime is 145100903. The next prime is 145100993. The reversal of 145100920 is 29001541.

It is a junction number, because it is equal to n+sod(n) for n = 145100891 and 145100900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48426 + ... + 51334.

Almost surely, 2^145100920 is an apocalyptic number.

145100920 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 145100920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172854000).

145100920 is an abundant number, since it is smaller than the sum of its proper divisors (200607080).

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

145100920 is a wasteful number, since it uses less digits than its factorization.

145100920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 145100920 is about 12045.7843248167. The cubic root of 145100920 is about 525.4806422219.

The spelling of 145100920 in words is "one hundred forty-five million, one hundred thousand, nine hundred twenty".