151041120 has 96 divisors (see below), whose sum is σ = 477550080. Its totient is φ = 40128000.

The previous prime is 151041113. The next prime is 151041131. The reversal of 151041120 is 21140151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 151041120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200745 + ... + 201495.

It is an arithmetic number, because the mean of its divisors is an integer number (4974480).

Almost surely, 2^151041120 is an apocalyptic number.

151041120 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 151041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238775040).

151041120 is an abundant number, since it is smaller than the sum of its proper divisors (326508960).

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

151041120 is a wasteful number, since it uses less digits than its factorization.

151041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 151041120 is about 12289.8787626241. The cubic root of 151041120 is about 532.5557348702. Note that the first 3 decimals are identical.

Adding to 151041120 its reverse (21140151), we get a palindrome (172181271).

The spelling of 151041120 in words is "one hundred fifty-one million, forty-one thousand, one hundred twenty".