147225690000 has 225 divisors, whose sum is σ = 515272374903. Its totient is φ = 39229488000.

The previous prime is 147225689953. The next prime is 147225690071. The reversal of 147225690000 is 96522741.

The square root of 147225690000 is 383700.

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

147225690000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11542494096 + 135683195904 = 107436^2 + 368352^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×147225690000² (a number of 23 digits) contains 22 as substring.

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

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 44 ways as a sum of consecutive naturals, for example, 115109361 + ... + 115110639.

Almost surely, 2^147225690000 is an apocalyptic number.

147225690000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147225690000 is the 383700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147225690000

147225690000 is an abundant number, since it is smaller than the sum of its proper divisors (368046684903).

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

147225690000 is an frugal number, since it uses more digits than its factorization.

147225690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 147225690000 by its sum of digits (36), we get a square (5300124840000 = 2302200²).

147225690000 divided by its sum of digits (36) gives a square (4089602500 = 63950²).

It can be divided in two parts, 147225 and 690000, that added together give a square (837225 = 915²).

The spelling of 147225690000 in words is "one hundred forty-seven billion, two hundred twenty-five million, six hundred ninety thousand".