142132290048 has 720 divisors, whose sum is σ = 506919578880. Its totient is φ = 37541117952.

The previous prime is 142132290043. The next prime is 142132290107. The reversal of 142132290048 is 840092231241.

142132290048 is a `hidden beast` number, since 1 + 421 + 3 + 229 + 0 + 0 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 142132289994 and 142132290021.

It is not an unprimeable number, because it can be changed into a prime (142132290043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 736436640 + ... + 736436832.

Almost surely, 2^142132290048 is an apocalyptic number.

142132290048 is a gapful number since it is divisible by the number (18) 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 142132290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253459789440).

142132290048 is an abundant number, since it is smaller than the sum of its proper divisors (364787288832).

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

142132290048 is a wasteful number, since it uses less digits than its factorization.

142132290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 142132290048 in words is "one hundred forty-two billion, one hundred thirty-two million, two hundred ninety thousand, forty-eight".