151614540 has 144 divisors (see below), whose sum is σ = 573431040. Its totient is φ = 31501440.

The previous prime is 151614511. The next prime is 151614557. The reversal of 151614540 is 45416151.

151614540 is a `hidden beast` number, since 1 + 5 + 1 + 614 + 5 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8391 + ... + 19329.

It is an arithmetic number, because the mean of its divisors is an integer number (3982160).

Almost surely, 2^151614540 is an apocalyptic number.

151614540 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 151614540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286715520).

151614540 is an abundant number, since it is smaller than the sum of its proper divisors (421816500).

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

151614540 is a wasteful number, since it uses less digits than its factorization.

151614540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10967 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 151614540 is about 12313.1856154287. The cubic root of 151614540 is about 533.2288241403.

It can be divided in two parts, 15161 and 4540, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 151614540 in words is "one hundred fifty-one million, six hundred fourteen thousand, five hundred forty".