145814032 has 160 divisors (see below), whose sum is σ = 379475712. Its totient is φ = 52641792.

The previous prime is 145814029. The next prime is 145814041. The reversal of 145814032 is 230418541.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1064268 + ... + 1064404.

Almost surely, 2^145814032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145814032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189737856).

145814032 is an abundant number, since it is smaller than the sum of its proper divisors (233661680).

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

145814032 is a wasteful number, since it uses less digits than its factorization.

145814032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 145814032 is about 12075.3481109242. The cubic root of 145814032 is about 526.3400770350.

The spelling of 145814032 in words is "one hundred forty-five million, eight hundred fourteen thousand, thirty-two".