140051134413100 has 288 divisors, whose sum is σ = 328797375621120. Its totient is φ = 51585515520000.

The previous prime is 140051134413037. The next prime is 140051134413163. The reversal of 140051134413100 is 1314431150041.

It is an interprime number because it is at equal distance from previous prime (140051134413037) and next prime (140051134413163).

It is a super-2 number, since 2×140051134413100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59570876925 + ... + 59570879275.

It is an arithmetic number, because the mean of its divisors is an integer number (1141657554240).

Almost surely, 2^{140051134413100} is an apocalyptic number.

140051134413100 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 140051134413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164398687810560).

140051134413100 is an abundant number, since it is smaller than the sum of its proper divisors (188746241208020).

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

140051134413100 is a wasteful number, since it uses less digits than its factorization.

140051134413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 140051134413100 its reverse (1314431150041), we get a palindrome (141365565563141).

The spelling of 140051134413100 in words is "one hundred forty trillion, fifty-one billion, one hundred thirty-four million, four hundred thirteen thousand, one hundred".