145949197680 has 960 divisors, whose sum is σ = 625427827200. Its totient is φ = 30924840960.

The previous prime is 145949197673. The next prime is 145949197741. The reversal of 145949197680 is 86791949541.

145949197680 is a `hidden beast` number, since 1 + 4 + 59 + 491 + 97 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76292404 + ... + 76294316.

It is an arithmetic number, because the mean of its divisors is an integer number (651487320).

Almost surely, 2^145949197680 is an apocalyptic number.

145949197680 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 145949197680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312713913600).

145949197680 is an abundant number, since it is smaller than the sum of its proper divisors (479478629520).

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

145949197680 is a wasteful number, since it uses less digits than its factorization.

145949197680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 145949197680 in words is "one hundred forty-five billion, nine hundred forty-nine million, one hundred ninety-seven thousand, six hundred eighty".