151020 has 36 divisors (see below), whose sum is σ = 458640. Its totient is φ = 40224.

The previous prime is 151013. The next prime is 151027. The reversal of 151020 is 20151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151013) and next prime (151027).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 150993 and 151011.

It is not an unprimeable number, because it can be changed into a prime (151027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2¹⁵¹⁰²⁰ is an apocalyptic number.

151020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151020 is an abundant number, since it is smaller than the sum of its proper divisors (307620).

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

151020 is a wasteful number, since it uses less digits than its factorization.

151020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 151020 is about 388.6129179531. The cubic root of 151020 is about 53.2530911384.

Adding to 151020 its reverse (20151), we get a palindrome (171171).

It can be divided in two parts, 15 and 1020, that added together give a triangular number (1035 = T₄₅).

The spelling of 151020 in words is "one hundred fifty-one thousand, twenty".