145264320 has 448 divisors, whose sum is σ = 579363840. Its totient is φ = 34062336.

The previous prime is 145264309. The next prime is 145264321. The reversal of 145264320 is 23462541.

145264320 is a `hidden beast` number, since 14 + 5 + 2 + 643 + 2 + 0 = 666.

It is a super-2 number, since 2×145264320² = 42203445330124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145264321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3378219 + ... + 3378261.

Almost surely, 2^145264320 is an apocalyptic number.

145264320 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 145264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289681920).

145264320 is an abundant number, since it is smaller than the sum of its proper divisors (434099520).

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

145264320 is a wasteful number, since it uses less digits than its factorization.

145264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 145264320 is about 12052.5648722585. The cubic root of 145264320 is about 525.6778183814.

The spelling of 145264320 in words is "one hundred forty-five million, two hundred sixty-four thousand, three hundred twenty".