151314240 has 448 divisors, whose sum is σ = 632033280. Its totient is φ = 29736960.

The previous prime is 151314223. The next prime is 151314281. The reversal of 151314240 is 42413151.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1700116 + ... + 1700204.

Almost surely, 2^151314240 is an apocalyptic number.

151314240 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 151314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316016640).

151314240 is an abundant number, since it is smaller than the sum of its proper divisors (480719040).

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

151314240 is a wasteful number, since it uses less digits than its factorization.

151314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 151314240 is about 12300.9853263875. The cubic root of 151314240 is about 532.8765394285.

Adding to 151314240 its reverse (42413151), we get a palindrome (193727391).

It can be divided in two parts, 1513 and 14240, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 151314240 in words is "one hundred fifty-one million, three hundred fourteen thousand, two hundred forty".