151014820 has 48 divisors (see below), whose sum is σ = 350380800. Its totient is φ = 54213120.

The previous prime is 151014769. The next prime is 151014821. The reversal of 151014820 is 28410151.

151014820 = 138² + 139² + ... + 769².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 151014791 and 151014800.

It is not an unprimeable number, because it can be changed into a prime (151014821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13036 + ... + 21724.

It is an arithmetic number, because the mean of its divisors is an integer number (7299600).

Almost surely, 2^151014820 is an apocalyptic number.

151014820 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 151014820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175190400).

151014820 is an abundant number, since it is smaller than the sum of its proper divisors (199365980).

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

151014820 is a wasteful number, since it uses less digits than its factorization.

151014820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8788 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 151014820 is about 12288.8087298973. The cubic root of 151014820 is about 532.5248226947.

Adding to 151014820 its reverse (28410151), we get a palindrome (179424971).

The spelling of 151014820 in words is "one hundred fifty-one million, fourteen thousand, eight hundred twenty".