151488072 has 96 divisors (see below), whose sum is σ = 430260480. Its totient is φ = 48090240.

The previous prime is 151488059. The next prime is 151488079. The reversal of 151488072 is 270884151.

It is a super-3 number, since 3×151488072³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (151488079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149038 + ... + 150050.

It is an arithmetic number, because the mean of its divisors is an integer number (4481880).

Almost surely, 2^151488072 is an apocalyptic number.

151488072 is a gapful number since it is divisible by the number (12) 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 151488072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215130240).

151488072 is an abundant number, since it is smaller than the sum of its proper divisors (278772408).

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

151488072 is a wasteful number, since it uses less digits than its factorization.

151488072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 151488072 is about 12308.0490736753. The cubic root of 151488072 is about 533.0805201098.

It can be divided in two parts, 15148 and 8072, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 151488072 in words is "one hundred fifty-one million, four hundred eighty-eight thousand, seventy-two".