142621781760 has 216 divisors, whose sum is σ = 499405115664. Its totient is φ = 37574000640.

The previous prime is 142621781723. The next prime is 142621781767. The reversal of 142621781760 is 67187126241.

142621781760 is a `hidden beast` number, since 1 + 4 + 2 + 621 + 7 + 8 + 17 + 6 + 0 = 666.

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 (142621781767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881580 + ... + 1030740.

Almost surely, 2^142621781760 is an apocalyptic number.

142621781760 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 142621781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249702557832).

142621781760 is an abundant number, since it is smaller than the sum of its proper divisors (356783333904).

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

142621781760 is a wasteful number, since it uses less digits than its factorization.

142621781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149271 (or 149254 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 142621781760 in words is "one hundred forty-two billion, six hundred twenty-one million, seven hundred eighty-one thousand, seven hundred sixty".