145442772 has 36 divisors (see below), whose sum is σ = 380327220. Its totient is φ = 46808832.

The previous prime is 145442761. The next prime is 145442783. The reversal of 145442772 is 277244541.

145442772 is a `hidden beast` number, since 145 + 442 + 7 + 72 = 666.

145442772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145442761) and next prime (145442783).

It can be written as a sum of positive squares in 2 ways, for example, as 103917636 + 41525136 = 10194^2 + 6444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68613 + ... + 70700.

It is an arithmetic number, because the mean of its divisors is an integer number (10564645).

Almost surely, 2^145442772 is an apocalyptic number.

145442772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145442772 is an abundant number, since it is smaller than the sum of its proper divisors (234884448).

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

145442772 is a wasteful number, since it uses less digits than its factorization.

145442772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139352 (or 139347 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 145442772 is about 12059.9656715929. The cubic root of 145442772 is about 525.8929890691.

The spelling of 145442772 in words is "one hundred forty-five million, four hundred forty-two thousand, seven hundred seventy-two".