151345040 has 160 divisors (see below), whose sum is σ = 445685760. Its totient is φ = 46425600.

The previous prime is 151345039. The next prime is 151345043. The reversal of 151345040 is 40543151.

It is a super-2 number, since 2×151345040² = 45810642265203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151344997 and 151345015.

It is not an unprimeable number, because it can be changed into a prime (151345043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 486485 + ... + 486795.

It is an arithmetic number, because the mean of its divisors is an integer number (2785536).

Almost surely, 2^151345040 is an apocalyptic number.

151345040 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 151345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222842880).

151345040 is an abundant number, since it is smaller than the sum of its proper divisors (294340720).

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

151345040 is a wasteful number, since it uses less digits than its factorization.

151345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 151345040 is about 12302.2371949170. The cubic root of 151345040 is about 532.9126926329.

Adding to 151345040 its reverse (40543151), we get a palindrome (191888191).

The spelling of 151345040 in words is "one hundred fifty-one million, three hundred forty-five thousand, forty".