142756426080 has 384 divisors, whose sum is σ = 509967360000. Its totient is φ = 37287475200.

The previous prime is 142756426079. The next prime is 142756426081. The reversal of 142756426080 is 80624657241.

142756426080 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 564 + 2 + 6 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (142756426079) and next prime (142756426081).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142756426081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71412921 + ... + 71414919.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040000).

Almost surely, 2^142756426080 is an apocalyptic number.

142756426080 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 142756426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680000).

142756426080 is an abundant number, since it is smaller than the sum of its proper divisors (367210933920).

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

142756426080 is a wasteful number, since it uses less digits than its factorization.

142756426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 142756426080 in words is "one hundred forty-two billion, seven hundred fifty-six million, four hundred twenty-six thousand, eighty".