142768640 has 160 divisors (see below), whose sum is σ = 405402624. Its totient is φ = 47185920.

The previous prime is 142768597. The next prime is 142768663. The reversal of 142768640 is 46867241.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 142768594 and 142768603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555392 + ... + 555648.

Almost surely, 2^142768640 is an apocalyptic number.

142768640 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 142768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202701312).

142768640 is an abundant number, since it is smaller than the sum of its proper divisors (262633984).

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

142768640 is an equidigital number, since it uses as much as digits as its factorization.

142768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 142768640 is about 11948.5831796075. The cubic root of 142768640 is about 522.6499832705.

The spelling of 142768640 in words is "one hundred forty-two million, seven hundred sixty-eight thousand, six hundred forty".