142732006400 has 264 divisors, whose sum is σ = 363441083520. Its totient is φ = 55552573440.

The previous prime is 142732006399. The next prime is 142732006423. The reversal of 142732006400 is 4600237241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376601411 + ... + 376601789.

Almost surely, 2^142732006400 is an apocalyptic number.

142732006400 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 142732006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181720541760).

142732006400 is an abundant number, since it is smaller than the sum of its proper divisors (220709077120).

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

142732006400 is a wasteful number, since it uses less digits than its factorization.

142732006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 142732006400 in words is "one hundred forty-two billion, seven hundred thirty-two million, six thousand, four hundred".