142561383287232 has 672 divisors, whose sum is σ = 491026209687552. Its totient is φ = 35542072000512.

The previous prime is 142561383287227. The next prime is 142561383287261. The reversal of 142561383287232 is 232782383165241.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2920298088 + ... + 2920346904.

It is an arithmetic number, because the mean of its divisors is an integer number (730693764416).

Almost surely, 2^{142561383287232} is an apocalyptic number.

142561383287232 is a gapful number since it is divisible by the number (12) 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 142561383287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245513104843776).

142561383287232 is an abundant number, since it is smaller than the sum of its proper divisors (348464826400320).

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

142561383287232 is a wasteful number, since it uses less digits than its factorization.

142561383287232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49353 (or 49324 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 142561383287232 in words is "one hundred forty-two trillion, five hundred sixty-one billion, three hundred eighty-three million, two hundred eighty-seven thousand, two hundred thirty-two".