151269120 has 180 divisors, whose sum is σ = 541639560. Its totient is φ = 40310784.

The previous prime is 151269103. The next prime is 151269149. The reversal of 151269120 is 21962151.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102951 + ... + 104409.

Almost surely, 2^151269120 is an apocalyptic number.

151269120 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 151269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270819780).

151269120 is an abundant number, since it is smaller than the sum of its proper divisors (390370440).

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

151269120 is an equidigital number, since it uses as much as digits as its factorization.

151269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 151269120 is about 12299.1511902245. The cubic root of 151269120 is about 532.8235684729.

The spelling of 151269120 in words is "one hundred fifty-one million, two hundred sixty-nine thousand, one hundred twenty".