151012020 has 192 divisors, whose sum is σ = 481614336. Its totient is φ = 35143680.

The previous prime is 151012007. The next prime is 151012021. The reversal of 151012020 is 20210151.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 151011987 and 151012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151012021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 961782 + ... + 961938.

It is an arithmetic number, because the mean of its divisors is an integer number (2508408).

Almost surely, 2^151012020 is an apocalyptic number.

151012020 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 151012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240807168).

151012020 is an abundant number, since it is smaller than the sum of its proper divisors (330602316).

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

151012020 is a wasteful number, since it uses less digits than its factorization.

151012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 151012020 is about 12288.6948045755. The cubic root of 151012020 is about 532.5215314532.

Adding to 151012020 its reverse (20210151), we get a palindrome (171222171).

It can be divided in two parts, 1510 and 12020, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 151012020 in words is "one hundred fifty-one million, twelve thousand, twenty".