142921519104 has 936 divisors, whose sum is σ = 519253045920. Its totient is φ = 34557788160.

The previous prime is 142921519061. The next prime is 142921519121. The reversal of 142921519104 is 401915129241.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4610371569 + ... + 4610371599.

Almost surely, 2^142921519104 is an apocalyptic number.

142921519104 is a gapful number since it is divisible by the number (14) 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 142921519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259626522960).

142921519104 is an abundant number, since it is smaller than the sum of its proper divisors (376331526816).

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

142921519104 is a wasteful number, since it uses less digits than its factorization.

142921519104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 142921519104 in words is "one hundred forty-two billion, nine hundred twenty-one million, five hundred nineteen thousand, one hundred four".