147691139581440 has 3200 divisors, whose sum is σ = 672644348006400. Its totient is φ = 30138277036032.

The previous prime is 147691139581399. The next prime is 147691139581451. The reversal of 147691139581440 is 44185931196741.

It is a happy number.

147691139581440 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 9 + 1 + 1 + 3 + 9 + 581 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 138938042349 + ... + 138938043411.

It is an arithmetic number, because the mean of its divisors is an integer number (210201358752).

Almost surely, 2^{147691139581440} is an apocalyptic number.

147691139581440 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 147691139581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336322174003200).

147691139581440 is an abundant number, since it is smaller than the sum of its proper divisors (524953208424960).

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

147691139581440 is a wasteful number, since it uses less digits than its factorization.

147691139581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 147691139581440 in words is "one hundred forty-seven trillion, six hundred ninety-one billion, one hundred thirty-nine million, five hundred eighty-one thousand, four hundred forty".