149305844160 has 448 divisors, whose sum is σ = 578845923840. Its totient is φ = 35928023040.

The previous prime is 149305844111. The next prime is 149305844161. The reversal of 149305844160 is 61448503941.

149305844160 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 0 + 584 + 4 + 1 + 60 = 666.

It is a super-2 number, since 2×149305844160² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149305844161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13014747 + ... + 13026213.

Almost surely, 2^149305844160 is an apocalyptic number.

149305844160 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 149305844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289422961920).

149305844160 is an abundant number, since it is smaller than the sum of its proper divisors (429540079680).

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

149305844160 is a wasteful number, since it uses less digits than its factorization.

149305844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11641 (or 11625 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 149305844160 in words is "one hundred forty-nine billion, three hundred five million, eight hundred forty-four thousand, one hundred sixty".