142690086000 has 2240 divisors, whose sum is σ = 681988349952. Its totient is φ = 27993600000.

The previous prime is 142690085971. The next prime is 142690086017. The reversal of 142690086000 is 680096241.

142690086000 is a `hidden beast` number, since 1 + 42 + 6 + 9 + 0 + 0 + 8 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3480245980 + ... + 3480246020.

Almost surely, 2^142690086000 is an apocalyptic number.

142690086000 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 142690086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340994174976).

142690086000 is an abundant number, since it is smaller than the sum of its proper divisors (539298263952).

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

142690086000 is a wasteful number, since it uses less digits than its factorization.

142690086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 1426900 and 86000, that added together give a square (1512900 = 1230²).

The spelling of 142690086000 in words is "one hundred forty-two billion, six hundred ninety million, eighty-six thousand".