142409154000 has 640 divisors, whose sum is σ = 489028700160. Its totient is φ = 35610624000.

The previous prime is 142409153983. The next prime is 142409154023. The reversal of 142409154000 is 451904241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1260257944 + ... + 1260258056.

It is an arithmetic number, because the mean of its divisors is an integer number (764107344).

Almost surely, 2^142409154000 is an apocalyptic number.

142409154000 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 142409154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244514350080).

142409154000 is an abundant number, since it is smaller than the sum of its proper divisors (346619546160).

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

142409154000 is a wasteful number, since it uses less digits than its factorization.

142409154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 142409154000 in words is "one hundred forty-two billion, four hundred nine million, one hundred fifty-four thousand".