145096920 has 160 divisors (see below), whose sum is σ = 513572400. Its totient is φ = 36640512.

The previous prime is 145096907. The next prime is 145096927. The reversal of 145096920 is 29690541.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145096927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60382 + ... + 62738.

Almost surely, 2^145096920 is an apocalyptic number.

145096920 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 145096920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256786200).

145096920 is an abundant number, since it is smaller than the sum of its proper divisors (368475480).

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

145096920 is a wasteful number, since it uses less digits than its factorization.

145096920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 145096920 is about 12045.6182904822. The cubic root of 145096920 is about 525.4758135324.

The spelling of 145096920 in words is "one hundred forty-five million, ninety-six thousand, nine hundred twenty".