145748772 has 144 divisors (see below), whose sum is σ = 429898560. Its totient is φ = 41243904.

The previous prime is 145748767. The next prime is 145748783. The reversal of 145748772 is 277847541.

145748772 is a `hidden beast` number, since 1 + 4 + 574 + 8 + 7 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328783 + ... + 329225.

Almost surely, 2^145748772 is an apocalyptic number.

145748772 is a gapful number since it is divisible by the number (12) 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 145748772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214949280).

145748772 is an abundant number, since it is smaller than the sum of its proper divisors (284149788).

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

145748772 is a wasteful number, since it uses less digits than its factorization.

145748772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 517 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 145748772 is about 12072.6456089790. The cubic root of 145748772 is about 526.2615430316.

The spelling of 145748772 in words is "one hundred forty-five million, seven hundred forty-eight thousand, seven hundred seventy-two".