151463083367232 has 1008 divisors, whose sum is σ = 575137787707392. Its totient is φ = 38657571563520.

The previous prime is 151463083367221. The next prime is 151463083367237. The reversal of 151463083367232 is 232763380364151.

151463083367232 is a `hidden beast` number, since 1 + 5 + 1 + 46 + 3 + 0 + 8 + 3 + 367 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151463083367237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 570205713 + ... + 570471279.

Almost surely, 2^{151463083367232} is an apocalyptic number.

151463083367232 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 151463083367232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287568893853696).

151463083367232 is an abundant number, since it is smaller than the sum of its proper divisors (423674704340160).

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

151463083367232 is a wasteful number, since it uses less digits than its factorization.

151463083367232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265658 (or 265623 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 151463083367232 in words is "one hundred fifty-one trillion, four hundred sixty-three billion, eighty-three million, three hundred sixty-seven thousand, two hundred thirty-two".