142153412451840 has 1920 divisors, whose sum is σ = 549766064719872. Its totient is φ = 35110872023040.

The previous prime is 142153412451781. The next prime is 142153412451847. The reversal of 142153412451840 is 48154214351241.

142153412451840 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 5 + 3 + 4 + 124 + 518 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142153412451847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139229590530 + ... + 139229591550.

Almost surely, 2^{142153412451840} is an apocalyptic number.

142153412451840 is a gapful number since it is divisible by the number (10) 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 142153412451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274883032359936).

142153412451840 is an abundant number, since it is smaller than the sum of its proper divisors (407612652268032).

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

142153412451840 is a wasteful number, since it uses less digits than its factorization.

142153412451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 142153412451840 in words is "one hundred forty-two trillion, one hundred fifty-three billion, four hundred twelve million, four hundred fifty-one thousand, eight hundred forty".