145857792 has 72 divisors (see below), whose sum is σ = 390731040. Its totient is φ = 48302080.

The previous prime is 145857781. The next prime is 145857793. The reversal of 145857792 is 297758541.

145857792 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145857793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136942 + ... + 138002.

It is an arithmetic number, because the mean of its divisors is an integer number (5426820).

Almost surely, 2^145857792 is an apocalyptic number.

145857792 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 145857792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195365520).

145857792 is an abundant number, since it is smaller than the sum of its proper divisors (244873248).

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

145857792 is a wasteful number, since it uses less digits than its factorization.

145857792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1245 counting only the distinct ones).

The product of its digits is 705600, while the sum is 48.

The square root of 145857792 is about 12077.1599310434. The cubic root of 145857792 is about 526.3927247757.

The spelling of 145857792 in words is "one hundred forty-five million, eight hundred fifty-seven thousand, seven hundred ninety-two".