142791264 has 288 divisors, whose sum is σ = 520805376. Its totient is φ = 36034560.

The previous prime is 142791263. The next prime is 142791277. The reversal of 142791264 is 462197241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142791263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042204 + ... + 1042340.

It is an arithmetic number, because the mean of its divisors is an integer number (1808352).

Almost surely, 2^142791264 is an apocalyptic number.

142791264 is a gapful number since it is divisible by the number (14) 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 142791264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260402688).

142791264 is an abundant number, since it is smaller than the sum of its proper divisors (378014112).

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

142791264 is a wasteful number, since it uses less digits than its factorization.

142791264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 142791264 is about 11949.5298652290. The cubic root of 142791264 is about 522.6775892599.

The spelling of 142791264 in words is "one hundred forty-two million, seven hundred ninety-one thousand, two hundred sixty-four".