149155305600 has 384 divisors, whose sum is σ = 580831574400. Its totient is φ = 32916602880.

The previous prime is 149155305599. The next prime is 149155305659. The reversal of 149155305600 is 6503551941.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1910532 + ... + 1987068.

It is an arithmetic number, because the mean of its divisors is an integer number (1512582225).

Almost surely, 2^149155305600 is an apocalyptic number.

149155305600 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 149155305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290415787200).

149155305600 is an abundant number, since it is smaller than the sum of its proper divisors (431676268800).

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

149155305600 is a wasteful number, since it uses less digits than its factorization.

149155305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76600 (or 76583 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The spelling of 149155305600 in words is "one hundred forty-nine billion, one hundred fifty-five million, three hundred five thousand, six hundred".