90151072200 has 540 divisors, whose sum is σ = 365311709235. Its totient is φ = 20544814080.

The previous prime is 90151072189. The next prime is 90151072217. The reversal of 90151072200 is 227015109.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 13938635844 + 76212436356 = 118062^2 + 276066^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=212310.

It is a super-2 number, since 2×90151072200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 267510432 + ... + 267510768.

Almost surely, 2^90151072200 is an apocalyptic number.

90151072200 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 90151072200

90151072200 is an abundant number, since it is smaller than the sum of its proper divisors (275160637035).

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

90151072200 is a wasteful number, since it uses less digits than its factorization.

90151072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 90151072200 its reverse (227015109), we get a palindrome (90378087309).

It can be divided in two parts, 901510 and 72200, that added together give a triangular number (973710 = T₁₃₉₅).

The spelling of 90151072200 in words is "ninety billion, one hundred fifty-one million, seventy-two thousand, two hundred".