142126760160 has 960 divisors, whose sum is σ = 634249211904. Its totient is φ = 29113344000.

The previous prime is 142126760147. The next prime is 142126760177. The reversal of 142126760160 is 61067621241.

142126760160 is a `hidden beast` number, since 1 + 4 + 21 + 26 + 7 + 601 + 6 + 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 159 ways as a sum of consecutive naturals, for example, 72847185 + ... + 72849135.

Almost surely, 2^142126760160 is an apocalyptic number.

142126760160 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 142126760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317124605952).

142126760160 is an abundant number, since it is smaller than the sum of its proper divisors (492122451744).

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

142126760160 is a wasteful number, since it uses less digits than its factorization.

142126760160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 142126760160 in words is "one hundred forty-two billion, one hundred twenty-six million, seven hundred sixty thousand, one hundred sixty".