149905148160 has 288 divisors, whose sum is σ = 521342640000. Its totient is φ = 36564369408.

The previous prime is 149905148153. The next prime is 149905148161. The reversal of 149905148160 is 61841509941.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (149905148161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2080416 + ... + 2151264.

It is an arithmetic number, because the mean of its divisors is an integer number (1810217500).

Almost surely, 2^149905148160 is an apocalyptic number.

149905148160 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 149905148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260671320000).

149905148160 is an abundant number, since it is smaller than the sum of its proper divisors (371437491840).

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

149905148160 is a wasteful number, since it uses less digits than its factorization.

149905148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70921 (or 70907 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 149905148160 in words is "one hundred forty-nine billion, nine hundred five million, one hundred forty-eight thousand, one hundred sixty".