32002553142 has 384 divisors, whose sum is σ = 92348743680. Its totient is φ = 8026698240.

The previous prime is 32002553123. The next prime is 32002553197. The reversal of 32002553142 is 24135520023.

It is a happy number.

32002553142 is a `hidden beast` number, since 320 + 0 + 25 + 5 + 314 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 118090467 + ... + 118090737.

It is an arithmetic number, because the mean of its divisors is an integer number (240491520).

Almost surely, 2^32002553142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32002553142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46174371840).

32002553142 is an abundant number, since it is smaller than the sum of its proper divisors (60346190538).

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

32002553142 is a wasteful number, since it uses less digits than its factorization.

32002553142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 32002553142 in words is "thirty-two billion, two million, five hundred fifty-three thousand, one hundred forty-two".