152730144 has 96 divisors (see below), whose sum is σ = 509120640. Its totient is φ = 43635456.

The previous prime is 152730107. The next prime is 152730161. The reversal of 152730144 is 441037251.

152730144 = T₄₃₂ + T₄₃₃ + ... + T₉₉₈.

It is a tau number, because it is divible by the number of its divisors (96).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6579 + ... + 18674.

It is an arithmetic number, because the mean of its divisors is an integer number (5303340).

Almost surely, 2^152730144 is an apocalyptic number.

152730144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152730144 is an abundant number, since it is smaller than the sum of its proper divisors (356390496).

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

152730144 is a wasteful number, since it uses less digits than its factorization.

152730144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25279 (or 25265 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 152730144 is about 12358.4037804241. The cubic root of 152730144 is about 534.5334903233.

Adding to 152730144 its reverse (441037251), we get a palindrome (593767395).

The spelling of 152730144 in words is "one hundred fifty-two million, seven hundred thirty thousand, one hundred forty-four".