145896920 has 64 divisors (see below), whose sum is σ = 363121920. Its totient is φ = 52406784.

The previous prime is 145896913. The next prime is 145896923. The reversal of 145896920 is 29698541.

It is a super-2 number, since 2×145896920² = 42571822530972800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145896923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15449 + ... + 23031.

It is an arithmetic number, because the mean of its divisors is an integer number (5673780).

Almost surely, 2^145896920 is an apocalyptic number.

145896920 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 145896920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181560960).

145896920 is an abundant number, since it is smaller than the sum of its proper divisors (217225000).

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

145896920 is a wasteful number, since it uses less digits than its factorization.

145896920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 145896920 is about 12078.7797396923. The cubic root of 145896920 is about 526.4397908318.

The spelling of 145896920 in words is "one hundred forty-five million, eight hundred ninety-six thousand, nine hundred twenty".