152535040 has 192 divisors, whose sum is σ = 448259400. Its totient is φ = 49545216.

The previous prime is 152535037. The next prime is 152535043. The reversal of 152535040 is 40535251.

152535040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152535037) and next prime (152535043).

It is a junction number, because it is equal to n+sod(n) for n = 152534996 and 152535014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152535043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8028151 + ... + 8028169.

Almost surely, 2^152535040 is an apocalyptic number.

152535040 is a gapful number since it is divisible by the number (10) 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 152535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224129700).

152535040 is an abundant number, since it is smaller than the sum of its proper divisors (295724360).

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

152535040 is an frugal number, since it uses more digits than its factorization.

152535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 152535040 is about 12350.5076818728. The cubic root of 152535040 is about 534.3057813744.

The spelling of 152535040 in words is "one hundred fifty-two million, five hundred thirty-five thousand, forty".