145416432 has 80 divisors (see below), whose sum is σ = 431178752. Its totient is φ = 41368320.

The previous prime is 145416431. The next prime is 145416433. The reversal of 145416432 is 234614541.

It is an interprime number because it is at equal distance from previous prime (145416431) and next prime (145416433).

It is a super-2 number, since 2×145416432² = 42291877391221248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145416432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145416431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90258 + ... + 91854.

Almost surely, 2^145416432 is an apocalyptic number.

145416432 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 145416432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215589376).

145416432 is an abundant number, since it is smaller than the sum of its proper divisors (285762320).

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

145416432 is a wasteful number, since it uses less digits than its factorization.

145416432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1880 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 145416432 is about 12058.8735792362. The cubic root of 145416432 is about 525.8612403672.

The spelling of 145416432 in words is "one hundred forty-five million, four hundred sixteen thousand, four hundred thirty-two".