151683840 has 720 divisors, whose sum is σ = 712293120. Its totient is φ = 29859840.

The previous prime is 151683839. The next prime is 151683863. The reversal of 151683840 is 48386151.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151683795 and 151683804.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 7983351 + ... + 7983369.

It is an arithmetic number, because the mean of its divisors is an integer number (989296).

Almost surely, 2^151683840 is an apocalyptic number.

151683840 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 151683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356146560).

151683840 is an abundant number, since it is smaller than the sum of its proper divisors (560609280).

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

151683840 is a wasteful number, since it uses less digits than its factorization.

151683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 151683840 is about 12315.9993504384. Note that the first 3 decimals coincide. The cubic root of 151683840 is about 533.3100545395.

The spelling of 151683840 in words is "one hundred fifty-one million, six hundred eighty-three thousand, eight hundred forty".