142125984 has 576 divisors, whose sum is σ = 594397440. Its totient is φ = 30965760.

The previous prime is 142125983. The next prime is 142126009. The reversal of 142125984 is 489521241.

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

It is not an unprimeable number, because it can be changed into a prime (142125983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4900882 + ... + 4900910.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^142125984 is an apocalyptic number.

142125984 is a gapful number since it is divisible by the number (14) 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 142125984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

142125984 is an abundant number, since it is smaller than the sum of its proper divisors (452271456).

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

142125984 is a wasteful number, since it uses less digits than its factorization.

142125984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 142125984 is about 11921.6602870573. The cubic root of 142125984 is about 521.8645881198.

The spelling of 142125984 in words is "one hundred forty-two million, one hundred twenty-five thousand, nine hundred eighty-four".