149171742720 has 2304 divisors, whose sum is σ = 731989440000. Its totient is φ = 28612362240.

The previous prime is 149171742703. The next prime is 149171742761. The reversal of 149171742720 is 27247171941.

149171742720 is a `hidden beast` number, since 1 + 491 + 71 + 74 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×149171742720² (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 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 191 ways as a sum of consecutive naturals, for example, 11474749434 + ... + 11474749446.

It is an arithmetic number, because the mean of its divisors is an integer number (317703750).

Almost surely, 2^149171742720 is an apocalyptic number.

149171742720 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 149171742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365994720000).

149171742720 is an abundant number, since it is smaller than the sum of its proper divisors (582817697280).

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

149171742720 is a wasteful number, since it uses less digits than its factorization.

149171742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 149171742720 in words is "one hundred forty-nine billion, one hundred seventy-one million, seven hundred forty-two thousand, seven hundred twenty".