145372416 has 108 divisors (see below), whose sum is σ = 450186912. Its totient is φ = 41524224.

The previous prime is 145372411. The next prime is 145372427. The reversal of 145372416 is 614273541.

It is a super-2 number, since 2×145372416² = 42266278667354112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145372411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35701 + ... + 39563.

Almost surely, 2^145372416 is an apocalyptic number.

145372416 is a gapful number since it is divisible by the number (16) 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 145372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225093456).

145372416 is an abundant number, since it is smaller than the sum of its proper divisors (304814496).

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

145372416 is an equidigital number, since it uses as much as digits as its factorization.

145372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3875 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 145372416 is about 12057.0483950260. The cubic root of 145372416 is about 525.8081774870.

The spelling of 145372416 in words is "one hundred forty-five million, three hundred seventy-two thousand, four hundred sixteen".