142007494272 has 384 divisors, whose sum is σ = 479624302080. Its totient is φ = 36952473600.

The previous prime is 142007494267. The next prime is 142007494273. The reversal of 142007494272 is 272494700241.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×142007494272² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (142007494273) 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, 9908872 + ... + 9923192.

It is an arithmetic number, because the mean of its divisors is an integer number (1249021620).

Almost surely, 2^142007494272 is an apocalyptic number.

142007494272 is a gapful number since it is divisible by the number (12) 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 142007494272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239812151040).

142007494272 is an abundant number, since it is smaller than the sum of its proper divisors (337616807808).

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

142007494272 is a wasteful number, since it uses less digits than its factorization.

142007494272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14400 (or 14381 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 142007494272 in words is "one hundred forty-two billion, seven million, four hundred ninety-four thousand, two hundred seventy-two".