142187415552000 has 2400 divisors, whose sum is σ = 652552676455680. Its totient is φ = 29996797132800.

The previous prime is 142187415551969. The next prime is 142187415552041. The reversal of 142187415552000 is 255514781241.

142187415552000 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 8 + 74 + 1 + 55 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-3 number, since 3×142187415552000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15095803291 + ... + 15095812709.

Almost surely, 2^{142187415552000} is an apocalyptic number.

142187415552000 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 142187415552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326276338227840).

142187415552000 is an abundant number, since it is smaller than the sum of its proper divisors (510365260903680).

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

142187415552000 is an frugal number, since it uses more digits than its factorization.

142187415552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 142187415552000 in words is "one hundred forty-two trillion, one hundred eighty-seven billion, four hundred fifteen million, five hundred fifty-two thousand".