149783270031360 has 4096 divisors, whose sum is σ = 684902615040000. Its totient is φ = 30255762898944.

The previous prime is 149783270031349. The next prime is 149783270031427. The reversal of 149783270031360 is 63130072387941.

149783270031360 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 8 + 3 + 270 + 0 + 3 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

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

It is a junction number, because it is equal to n+sod(n) for n = 149783270031297 and 149783270031306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1077577482171 + ... + 1077577482309.

It is an arithmetic number, because the mean of its divisors is an integer number (167212552500).

Almost surely, 2^{149783270031360} is an apocalyptic number.

149783270031360 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 149783270031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342451307520000).

149783270031360 is an abundant number, since it is smaller than the sum of its proper divisors (535119345008640).

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

149783270031360 is a wasteful number, since it uses less digits than its factorization.

149783270031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 149783270031360 in words is "one hundred forty-nine trillion, seven hundred eighty-three billion, two hundred seventy million, thirty-one thousand, three hundred sixty".