145973772 has 96 divisors (see below), whose sum is σ = 434649600. Its totient is φ = 41501376.

The previous prime is 145973749. The next prime is 145973783. The reversal of 145973772 is 277379541.

It is a super-2 number, since 2×145973772² = 42616684223815968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221179 + ... + 221837.

It is an arithmetic number, because the mean of its divisors is an integer number (4527600).

Almost surely, 2^145973772 is an apocalyptic number.

145973772 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 145973772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217324800).

145973772 is an abundant number, since it is smaller than the sum of its proper divisors (288675828).

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

145973772 is a wasteful number, since it uses less digits than its factorization.

145973772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 145973772 is about 12081.9606024850. The cubic root of 145973772 is about 526.5322096187.

The spelling of 145973772 in words is "one hundred forty-five million, nine hundred seventy-three thousand, seven hundred seventy-two".