151604640 has 288 divisors, whose sum is σ = 598643136. Its totient is φ = 34529280.

The previous prime is 151604639. The next prime is 151604653. The reversal of 151604640 is 46406151.

151604640 is a `hidden beast` number, since 1 + 5 + 16 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268999 + ... + 269561.

It is an arithmetic number, because the mean of its divisors is an integer number (2078622).

Almost surely, 2^151604640 is an apocalyptic number.

151604640 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 151604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299321568).

151604640 is an abundant number, since it is smaller than the sum of its proper divisors (447038496).

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

151604640 is a wasteful number, since it uses less digits than its factorization.

151604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 151604640 is about 12312.7836007947. The cubic root of 151604640 is about 533.2172177771.

The spelling of 151604640 in words is "one hundred fifty-one million, six hundred four thousand, six hundred forty".