152045040 has 160 divisors (see below), whose sum is σ = 549964800. Its totient is φ = 34734336.

The previous prime is 152045027. The next prime is 152045041. The reversal of 152045040 is 40540251.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 152044998 and 152045016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152045041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81397 + ... + 83243.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^152045040 is an apocalyptic number.

152045040 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 152045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

152045040 is an abundant number, since it is smaller than the sum of its proper divisors (397919760).

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

152045040 is a wasteful number, since it uses less digits than its factorization.

152045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 152045040 is about 12330.6544838463. The cubic root of 152045040 is about 533.7330371748.

Adding to 152045040 its reverse (40540251), we get a palindrome (192585291).

The spelling of 152045040 in words is "one hundred fifty-two million, forty-five thousand, forty".