142370152400 has 240 divisors, whose sum is σ = 405736352640. Its totient is φ = 46972262400.

The previous prime is 142370152373. The next prime is 142370152417. The reversal of 142370152400 is 4251073241.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25737635 + ... + 25743165.

It is an arithmetic number, because the mean of its divisors is an integer number (1690568136).

Almost surely, 2^142370152400 is an apocalyptic number.

142370152400 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 142370152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202868176320).

142370152400 is an abundant number, since it is smaller than the sum of its proper divisors (263366200240).

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

142370152400 is a wasteful number, since it uses less digits than its factorization.

142370152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 142370152400 in words is "one hundred forty-two billion, three hundred seventy million, one hundred fifty-two thousand, four hundred".