145257792 has 112 divisors (see below), whose sum is σ = 410821632. Its totient is φ = 45137920.

The previous prime is 145257787. The next prime is 145257817. The reversal of 145257792 is 297752541.

It is a super-2 number, since 2×145257792² = 42199652273430528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623308 + ... + 623540.

Almost surely, 2^145257792 is an apocalyptic number.

145257792 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 145257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205410816).

145257792 is an abundant number, since it is smaller than the sum of its proper divisors (265563840).

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

145257792 is a wasteful number, since it uses less digits than its factorization.

145257792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 446 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 145257792 is about 12052.2940554900. The cubic root of 145257792 is about 525.6699438251.

The spelling of 145257792 in words is "one hundred forty-five million, two hundred fifty-seven thousand, seven hundred ninety-two".