151965540 has 36 divisors (see below), whose sum is σ = 460962684. Its totient is φ = 40524096.

The previous prime is 151965467. The next prime is 151965551. The reversal of 151965540 is 45569151.

151965540 is a `hidden beast` number, since 1 + 51 + 9 + 65 + 540 = 666.

151965540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 113550336 + 38415204 = 10656^2 + 6198^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 151965495 and 151965504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421947 + ... + 422306.

It is an arithmetic number, because the mean of its divisors is an integer number (12804519).

Almost surely, 2^151965540 is an apocalyptic number.

151965540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151965540 is an abundant number, since it is smaller than the sum of its proper divisors (308997144).

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

151965540 is a wasteful number, since it uses less digits than its factorization.

151965540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844268 (or 844263 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 151965540 is about 12327.4303891768. The cubic root of 151965540 is about 533.6399963801.

It can be divided in two parts, 15196 and 5540, that added together give a 4-th power (20736 = 12⁴).

The spelling of 151965540 in words is "one hundred fifty-one million, nine hundred sixty-five thousand, five hundred forty".