149351246900 has 18 divisors (see below), whose sum is σ = 324092205990. Its totient is φ = 59740498720.

The previous prime is 149351246897. The next prime is 149351246909. The reversal of 149351246900 is 9642153941.

It can be written as a sum of positive squares in 3 ways, for example, as 2781718564 + 146569528336 = 52742^2 + 382844^2 .

It is a super-2 number, since 2×149351246900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149351246909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 746756135 + ... + 746756334.

It is an arithmetic number, because the mean of its divisors is an integer number (18005122555).

Almost surely, 2^149351246900 is an apocalyptic number.

149351246900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149351246900 is an abundant number, since it is smaller than the sum of its proper divisors (174740959090).

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

149351246900 is a wasteful number, since it uses less digits than its factorization.

149351246900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493512483 (or 1493512476 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 149351246900 in words is "one hundred forty-nine billion, three hundred fifty-one million, two hundred forty-six thousand, nine hundred".