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152769600 = 2632521032

152769600 has 189 divisors, whose sum is σ = 548302053. Its totient is φ = 40343040.

The previous prime is 152769541. The next prime is 152769601. The reversal of 152769600 is 6967251.

The square root of 152769600 is 12360.

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

It can be written as a sum of positive squares in only one way, i.e., 54997056 + 97772544 = 7416^2 + 9888^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (152769601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1483149 + ... + 1483251.

Almost surely, 2152769600 is an apocalyptic number.

152769600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152769600 is the 12360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152769600

152769600 is an abundant number, since it is smaller than the sum of its proper divisors (395532453).

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

152769600 is a wasteful number, since it uses less digits than its factorization.

152769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 152769600 is about 534.5795164644.

Multiplying 152769600 by its sum of digits (36), we get a square (5499705600 = 741602).

152769600 divided by its sum of digits (36) gives a square (4243600 = 20602).

The spelling of 152769600 in words is "one hundred fifty-two million, seven hundred sixty-nine thousand, six hundred".