142102417685760 has 1152 divisors, whose sum is σ = 607467119616000. Its totient is φ = 30728896708608.

The previous prime is 142102417685747. The next prime is 142102417685771. The reversal of 142102417685760 is 67586714201241.

It is a happy number.

142102417685760 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 0 + 2 + 4 + 1 + 7 + 68 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×142102417685760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 142102417685697 and 142102417685706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3415163836 + ... + 3415205444.

It is an arithmetic number, because the mean of its divisors is an integer number (527315208000).

Almost surely, 2^{142102417685760} is an apocalyptic number.

142102417685760 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 142102417685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303733559808000).

142102417685760 is an abundant number, since it is smaller than the sum of its proper divisors (465364701930240).

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

142102417685760 is a wasteful number, since it uses less digits than its factorization.

142102417685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42408 (or 42388 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 142102417685760 in words is "one hundred forty-two trillion, one hundred two billion, four hundred seventeen million, six hundred eighty-five thousand, seven hundred sixty".