142175109120 has 608 divisors, whose sum is σ = 525461402880. Its totient is φ = 32463912960.

The previous prime is 142175109077. The next prime is 142175109151. The reversal of 142175109120 is 21901571241.

It is a tau number, because it is divible by the number of its divisors (608).

It is a super-3 number, since 3×142175109120³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821821354 + ... + 821821526.

Almost surely, 2^142175109120 is an apocalyptic number.

142175109120 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 142175109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262730701440).

142175109120 is an abundant number, since it is smaller than the sum of its proper divisors (383286293760).

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

142175109120 is an equidigital number, since it uses as much as digits as its factorization.

142175109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 142175109120 in words is "one hundred forty-two billion, one hundred seventy-five million, one hundred nine thousand, one hundred twenty".