15210461261142 has 144 divisors (see below), whose sum is σ = 39579655819392. Its totient is φ = 4204975057920.

The previous prime is 15210461261119. The next prime is 15210461261161. The reversal of 15210461261142 is 24116216401251.

15210461261142 is a `hidden beast` number, since 1 + 5 + 21 + 0 + 4 + 6 + 12 + 611 + 4 + 2 = 666.

It is a super-2 number, since 2×15210461261142² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15210461261097 and 15210461261106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181864518 + ... + 181948134.

It is an arithmetic number, because the mean of its divisors is an integer number (274858720968).

Almost surely, 2^{15210461261142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15210461261142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19789827909696).

15210461261142 is an abundant number, since it is smaller than the sum of its proper divisors (24369194558250).

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

15210461261142 is a wasteful number, since it uses less digits than its factorization.

15210461261142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90323 (or 90313 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 15210461261142 its reverse (24116216401251), we get a palindrome (39326677662393).

The spelling of 15210461261142 in words is "fifteen trillion, two hundred ten billion, four hundred sixty-one million, two hundred sixty-one thousand, one hundred forty-two".