149134901760 has 960 divisors, whose sum is σ = 608174645760. Its totient is φ = 34504704000.

The previous prime is 149134901753. The next prime is 149134901761. The reversal of 149134901760 is 67109431941.

It is a happy number.

149134901760 is a `hidden beast` number, since 1 + 4 + 91 + 3 + 490 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (149134901761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198581385 + ... + 198582135.

It is an arithmetic number, because the mean of its divisors is an integer number (633515256).

Almost surely, 2^149134901760 is an apocalyptic number.

149134901760 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 149134901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304087322880).

149134901760 is an abundant number, since it is smaller than the sum of its proper divisors (459039744000).

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

149134901760 is a wasteful number, since it uses less digits than its factorization.

149134901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 149134901760 in words is "one hundred forty-nine billion, one hundred thirty-four million, nine hundred one thousand, seven hundred sixty".