149120360553600 has 2304 divisors, whose sum is σ = 586800317376000. Its totient is φ = 37382608650240.

The previous prime is 149120360553547. The next prime is 149120360553649. The reversal of 149120360553600 is 6355063021941.

149120360553600 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 2 + 0 + 3 + 605 + 5 + 36 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 772644355104 + ... + 772644355296.

It is an arithmetic number, because the mean of its divisors is an integer number (254687637750).

Almost surely, 2^{149120360553600} is an apocalyptic number.

149120360553600 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 149120360553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293400158688000).

149120360553600 is an abundant number, since it is smaller than the sum of its proper divisors (437679956822400).

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

149120360553600 is an frugal number, since it uses more digits than its factorization.

149120360553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 149120360553600 in words is "one hundred forty-nine trillion, one hundred twenty billion, three hundred sixty million, five hundred fifty-three thousand, six hundred".