149086271700 has 216 divisors, whose sum is σ = 472699104696. Its totient is φ = 39298560000.

The previous prime is 149086271669. The next prime is 149086271717. The reversal of 149086271700 is 7172680941.

It is a happy number.

149086271700 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 8 + 627 + 17 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3746908944 + 145339362756 = 61212^2 + 381234^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86626840 + ... + 86628560.

It is an arithmetic number, because the mean of its divisors is an integer number (2188421781).

Almost surely, 2^149086271700 is an apocalyptic number.

149086271700 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 149086271700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236349552348).

149086271700 is an abundant number, since it is smaller than the sum of its proper divisors (323612832996).

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

149086271700 is a wasteful number, since it uses less digits than its factorization.

149086271700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 149086271700 in words is "one hundred forty-nine billion, eighty-six million, two hundred seventy-one thousand, seven hundred".