151132416 has 72 divisors (see below), whose sum is σ = 404172384. Its totient is φ = 50135040.

The previous prime is 151132381. The next prime is 151132433. The reversal of 151132416 is 614231151.

151132416 = T₄₉₈ + T₄₉₉ + ... + T₁₀₀₉.

It is a happy number.

151132416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235456 + ... + 236096.

Almost surely, 2^151132416 is an apocalyptic number.

151132416 is a gapful number since it is divisible by the number (16) 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 151132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202086192).

151132416 is an abundant number, since it is smaller than the sum of its proper divisors (253039968).

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

151132416 is an equidigital number, since it uses as much as digits as its factorization.

151132416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 953 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 151132416 is about 12293.5924773843. The cubic root of 151132416 is about 532.6630134170.

Adding to 151132416 its reverse (614231151), we get a palindrome (765363567).

The spelling of 151132416 in words is "one hundred fifty-one million, one hundred thirty-two thousand, four hundred sixteen".