152029520 has 20 divisors (see below), whose sum is σ = 353468820. Its totient is φ = 60811776.

The previous prime is 152029477. The next prime is 152029547. The reversal of 152029520 is 25920251.

It can be written as a sum of positive squares in 2 ways, for example, as 77862976 + 74166544 = 8824^2 + 8612^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×152029520⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

152029520 is a modest number, since divided by 29520 gives 1520 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 152029520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 950105 + ... + 950264.

It is an arithmetic number, because the mean of its divisors is an integer number (17673441).

Almost surely, 2^152029520 is an apocalyptic number.

152029520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152029520 is an abundant number, since it is smaller than the sum of its proper divisors (201439300).

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

152029520 is a wasteful number, since it uses less digits than its factorization.

152029520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900382 (or 1900376 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 152029520 is about 12330.0251419046. The cubic root of 152029520 is about 533.7148762873.

Adding to 152029520 its reverse (25920251), we get a palindrome (177949771).

The spelling of 152029520 in words is "one hundred fifty-two million, twenty-nine thousand, five hundred twenty".