145086999768 has 160 divisors (see below), whose sum is σ = 431754958800. Its totient is φ = 45432430848.

The previous prime is 145086999763. The next prime is 145086999773. The reversal of 145086999768 is 867999680541.

145086999768 is a `hidden beast` number, since 1 + 450 + 86 + 9 + 9 + 97 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (145086999763) and next prime (145086999773).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 145086999696 and 145086999705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145086999763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 590971 + ... + 799637.

Almost surely, 2^145086999768 is an apocalyptic number.

145086999768 is a gapful number since it is divisible by the number (18) 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 145086999768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215877479400).

145086999768 is an abundant number, since it is smaller than the sum of its proper divisors (286667959032).

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

145086999768 is a wasteful number, since it uses less digits than its factorization.

145086999768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208751 (or 208738 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 145086999768 in words is "one hundred forty-five billion, eighty-six million, nine hundred ninety-nine thousand, seven hundred sixty-eight".