140766766264152 has 384 divisors, whose sum is σ = 448810362000000. Its totient is φ = 39839865375744.

The previous prime is 140766766264123. The next prime is 140766766264207. The reversal of 140766766264152 is 251462667667041.

140766766264152 is a `hidden beast` number, since 1 + 40 + 76 + 67 + 66 + 264 + 152 = 666.

It is a super-2 number, since 2×140766766264152² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 140766766264152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1114047474 + ... + 1114173822.

It is an arithmetic number, because the mean of its divisors is an integer number (1168776984375).

Almost surely, 2^{140766766264152} is an apocalyptic number.

140766766264152 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 140766766264152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224405181000000).

140766766264152 is an abundant number, since it is smaller than the sum of its proper divisors (308043595735848).

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

140766766264152 is a wasteful number, since it uses less digits than its factorization.

140766766264152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126808 (or 126787 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 140766766264152 in words is "one hundred forty trillion, seven hundred sixty-six billion, seven hundred sixty-six million, two hundred sixty-four thousand, one hundred fifty-two".