151385680 has 80 divisors (see below), whose sum is σ = 375578640. Its totient is φ = 56549376.

The previous prime is 151385677. The next prime is 151385683. The reversal of 151385680 is 86583151.

It is an interprime number because it is at equal distance from previous prime (151385677) and next prime (151385683).

It can be written as a sum of positive squares in 8 ways, for example, as 8248384 + 143137296 = 2872^2 + 11964^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151385683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213166 + ... + 213874.

It is an arithmetic number, because the mean of its divisors is an integer number (4694733).

Almost surely, 2^151385680 is an apocalyptic number.

151385680 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 151385680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187789320).

151385680 is an abundant number, since it is smaller than the sum of its proper divisors (224192960).

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

151385680 is a wasteful number, since it uses less digits than its factorization.

151385680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 151385680 is about 12303.8888161426. Note that the first 4 decimals coincide. The cubic root of 151385680 is about 532.9603885767.

The spelling of 151385680 in words is "one hundred fifty-one million, three hundred eighty-five thousand, six hundred eighty".