142531906079232 has 480 divisors, whose sum is σ = 459997000182720. Its totient is φ = 43912239022080.

The previous prime is 142531906079231. The next prime is 142531906079281. The reversal of 142531906079232 is 232970609135241.

It is a happy number.

142531906079232 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 3 + 1 + 9 + 0 + 607 + 9 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (142531906079231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96184758 + ... + 97655370.

It is an arithmetic number, because the mean of its divisors is an integer number (958327083714).

Almost surely, 2^{142531906079232} is an apocalyptic number.

142531906079232 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 142531906079232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229998500091360).

142531906079232 is an abundant number, since it is smaller than the sum of its proper divisors (317465094103488).

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

142531906079232 is an equidigital number, since it uses as much as digits as its factorization.

142531906079232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470706 (or 1470678 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 142531906079232 in words is "one hundred forty-two trillion, five hundred thirty-one billion, nine hundred six million, seventy-nine thousand, two hundred thirty-two".