145613772 has 72 divisors (see below), whose sum is σ = 391809600. Its totient is φ = 45439488.

The previous prime is 145613753. The next prime is 145613773. The reversal of 145613772 is 277316541.

It is a happy number.

145613772 is a `hidden beast` number, since 1 + 456 + 137 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (145613773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139629 + ... + 140667.

It is an arithmetic number, because the mean of its divisors is an integer number (5441800).

Almost surely, 2^145613772 is an apocalyptic number.

145613772 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 145613772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195904800).

145613772 is an abundant number, since it is smaller than the sum of its proper divisors (246195828).

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

145613772 is a wasteful number, since it uses less digits than its factorization.

145613772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1290 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 145613772 is about 12067.0531613978. The cubic root of 145613772 is about 526.0990093468.

The spelling of 145613772 in words is "one hundred forty-five million, six hundred thirteen thousand, seven hundred seventy-two".