9149101920 has 1152 divisors, whose sum is σ = 41060597760. Its totient is φ = 1806520320.

The previous prime is 9149101877. The next prime is 9149101937. The reversal of 9149101920 is 291019419.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 136553727 + ... + 136553793.

It is an arithmetic number, because the mean of its divisors is an integer number (35642880).

Almost surely, 2^9149101920 is an apocalyptic number.

9149101920 is a gapful number since it is divisible by the number (90) 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 9149101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20530298880).

9149101920 is an abundant number, since it is smaller than the sum of its proper divisors (31911495840).

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

9149101920 is a wasteful number, since it uses less digits than its factorization.

9149101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 9149101920 is about 95650.9378939904. The cubic root of 9149101920 is about 2091.5077998806.

The spelling of 9149101920 in words is "nine billion, one hundred forty-nine million, one hundred one thousand, nine hundred twenty".