145393920 has 288 divisors, whose sum is σ = 590634240. Its totient is φ = 33177600.

The previous prime is 145393883. The next prime is 145393931. The reversal of 145393920 is 29393541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145393920² = 42278783945932800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241620 + ... + 242220.

Almost surely, 2^145393920 is an apocalyptic number.

145393920 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 145393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295317120).

145393920 is an abundant number, since it is smaller than the sum of its proper divisors (445240320).

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

145393920 is an equidigital number, since it uses as much as digits as its factorization.

145393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 145393920 is about 12057.9401225914. The cubic root of 145393920 is about 525.8341026748.

The spelling of 145393920 in words is "one hundred forty-five million, three hundred ninety-three thousand, nine hundred twenty".