15151148100 has 243 divisors, whose sum is σ = 52340549079. Its totient is φ = 3663158400.

The previous prime is 15151148081. The next prime is 15151148101. The reversal of 15151148100 is 184115151.

The square root of 15151148100 is 123090.

It is a perfect power (a square), and thus also a powerful number.

15151148100 is a `hidden beast` number, since 1 + 5 + 1 + 511 + 48 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145878084 + 15005270016 = 12078^2 + 122496^2 .

It is a super-2 number, since 2×15151148100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15151148101) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 40619514 + ... + 40619886.

Almost surely, 2^15151148100 is an apocalyptic number.

15151148100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15151148100 is the 123090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15151148100

15151148100 is an abundant number, since it is smaller than the sum of its proper divisors (37189400979).

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

15151148100 is a wasteful number, since it uses less digits than its factorization.

15151148100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 27.

The spelling of 15151148100 in words is "fifteen billion, one hundred fifty-one million, one hundred forty-eight thousand, one hundred".