149334827765760 has 5616 divisors, whose sum is σ = 718744732445376. Its totient is φ = 29472665370624.

The previous prime is 149334827765749. The next prime is 149334827765801. The reversal of 149334827765760 is 67567728433941.

149334827765760 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 3 + 48 + 2 + 7 + 7 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 431 ways as a sum of consecutive naturals, for example, 916164587439 + ... + 916164587601.

It is a 1-persistent number, because it is pandigital, but 2⋅149334827765760 = 298669655531520 is not.

Almost surely, 2^{149334827765760} is an apocalyptic number.

149334827765760 is a gapful number since it is divisible by the number (10) 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 149334827765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359372366222688).

149334827765760 is an abundant number, since it is smaller than the sum of its proper divisors (569409904679616).

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

149334827765760 is a wasteful number, since it uses less digits than its factorization.

149334827765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 149334827765760 in words is "one hundred forty-nine trillion, three hundred thirty-four billion, eight hundred twenty-seven million, seven hundred sixty-five thousand, seven hundred sixty".