142965706752 has 832 divisors, whose sum is σ = 507281080320. Its totient is φ = 39282278400.

The previous prime is 142965706699. The next prime is 142965706759. The reversal of 142965706752 is 257607569241.

It is a happy number.

142965706752 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 6 + 570 + 67 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (142965706759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 641101713 + ... + 641101935.

Almost surely, 2^142965706752 is an apocalyptic number.

142965706752 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 142965706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253640540160).

142965706752 is an abundant number, since it is smaller than the sum of its proper divisors (364315373568).

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

142965706752 is a wasteful number, since it uses less digits than its factorization.

142965706752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 142965706752 in words is "one hundred forty-two billion, nine hundred sixty-five million, seven hundred six thousand, seven hundred fifty-two".