142137815040 has 780 divisors, whose sum is σ = 553508004504. Its totient is φ = 34987769856.

The previous prime is 142137814969. The next prime is 142137815063. The reversal of 142137815040 is 40518731241.

142137815040 is a `hidden beast` number, since 1 + 42 + 1 + 37 + 81 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (780).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142137814986 and 142137815004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10933678074 + ... + 10933678086.

Almost surely, 2^142137815040 is an apocalyptic number.

142137815040 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 142137815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276754002252).

142137815040 is an abundant number, since it is smaller than the sum of its proper divisors (411370189464).

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

142137815040 is an frugal number, since it uses more digits than its factorization.

142137815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 142137815040 in words is "one hundred forty-two billion, one hundred thirty-seven million, eight hundred fifteen thousand, forty".