145633920 has 128 divisors (see below), whose sum is σ = 469428480. Its totient is φ = 38400000.

The previous prime is 145633903. The next prime is 145633937. The reversal of 145633920 is 29336541.

It is an interprime number because it is at equal distance from previous prime (145633903) and next prime (145633937).

It is a tau number, because it is divible by the number of its divisors (128).

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, 193545 + ... + 194295.

It is an arithmetic number, because the mean of its divisors is an integer number (3667410).

Almost surely, 2^145633920 is an apocalyptic number.

145633920 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 145633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234714240).

145633920 is an abundant number, since it is smaller than the sum of its proper divisors (323794560).

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

145633920 is a wasteful number, since it uses less digits than its factorization.

145633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 145633920 is about 12067.8879676603. The cubic root of 145633920 is about 526.1232729721.

The spelling of 145633920 in words is "one hundred forty-five million, six hundred thirty-three thousand, nine hundred twenty".