145396680 has 256 divisors, whose sum is σ = 528595200. Its totient is φ = 31518720.

The previous prime is 145396679. The next prime is 145396681. The reversal of 145396680 is 86693541.

It is an interprime number because it is at equal distance from previous prime (145396679) and next prime (145396681).

It is a super-2 number, since 2×145396680² = 42280389110044800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145396681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 634806 + ... + 635034.

It is an arithmetic number, because the mean of its divisors is an integer number (2064825).

Almost surely, 2^145396680 is an apocalyptic number.

145396680 is a gapful number since it is divisible by the number (10) 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 145396680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264297600).

145396680 is an abundant number, since it is smaller than the sum of its proper divisors (383198520).

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

145396680 is a wasteful number, since it uses less digits than its factorization.

145396680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 145396680 is about 12058.0545694569. The cubic root of 145396680 is about 525.8374299413.

The spelling of 145396680 in words is "one hundred forty-five million, three hundred ninety-six thousand, six hundred eighty".