145251792 has 160 divisors (see below), whose sum is σ = 483183360. Its totient is φ = 41430528.

The previous prime is 145251781. The next prime is 145251793. The reversal of 145251792 is 297152541.

145251792 is a `hidden beast` number, since 1 + 4 + 52 + 517 + 92 = 666.

It is a super-2 number, since 2×145251792² = 42196166158422528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145251793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244648 + ... + 245240.

It is an arithmetic number, because the mean of its divisors is an integer number (3019896).

Almost surely, 2^145251792 is an apocalyptic number.

145251792 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 145251792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241591680).

145251792 is an abundant number, since it is smaller than the sum of its proper divisors (337931568).

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

145251792 is an frugal number, since it uses more digits than its factorization.

145251792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 605 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 145251792 is about 12052.0451376519. The cubic root of 145251792 is about 525.6627059733.

The spelling of 145251792 in words is "one hundred forty-five million, two hundred fifty-one thousand, seven hundred ninety-two".