142257951360 has 768 divisors, whose sum is σ = 590796011520. Its totient is φ = 30838579200.

The previous prime is 142257951257. The next prime is 142257951373. The reversal of 142257951360 is 63159752241.

142257951360 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 5 + 79 + 513 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121483575 + ... + 121484745.

It is an arithmetic number, because the mean of its divisors is an integer number (769265640).

Almost surely, 2^142257951360 is an apocalyptic number.

142257951360 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 142257951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295398005760).

142257951360 is an abundant number, since it is smaller than the sum of its proper divisors (448538060160).

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

142257951360 is a wasteful number, since it uses less digits than its factorization.

142257951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 142257951360 in words is "one hundred forty-two billion, two hundred fifty-seven million, nine hundred fifty-one thousand, three hundred sixty".