1465216137 has 96 divisors (see below), whose sum is σ = 2712213504. Its totient is φ = 740275200.

The previous prime is 1465216121. The next prime is 1465216187. The reversal of 1465216137 is 7316125641.

1465216137 is a `hidden beast` number, since 1 + 46 + 521 + 61 + 37 = 666.

It is not a de Polignac number, because 1465216137 - 2⁴ = 1465216121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1465216187) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4772538 + ... + 4772844.

It is an arithmetic number, because the mean of its divisors is an integer number (28252224).

Almost surely, 2^1465216137 is an apocalyptic number.

It is an amenable number.

1465216137 is a deficient number, since it is larger than the sum of its proper divisors (1246997367).

1465216137 is a wasteful number, since it uses less digits than its factorization.

1465216137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 496 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1465216137 is about 38278.1417652425. The cubic root of 1465216137 is about 1135.7966001740.

The spelling of 1465216137 in words is "one billion, four hundred sixty-five million, two hundred sixteen thousand, one hundred thirty-seven".