142946496 has 252 divisors, whose sum is σ = 516459216. Its totient is φ = 37002240.

The previous prime is 142946477. The next prime is 142946509. The reversal of 142946496 is 694649241.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487726 + ... + 488018.

Almost surely, 2^142946496 is an apocalyptic number.

142946496 is a gapful number since it is divisible by the number (16) 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 142946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258229608).

142946496 is an abundant number, since it is smaller than the sum of its proper divisors (373512720).

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

142946496 is a wasteful number, since it uses less digits than its factorization.

142946496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 316 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 142946496 is about 11956.0234191808. The cubic root of 142946496 is about 522.8669260145.

The spelling of 142946496 in words is "one hundred forty-two million, nine hundred forty-six thousand, four hundred ninety-six".