155304864 has 240 divisors, whose sum is σ = 537878880. Its totient is φ = 43338240.

The previous prime is 155304847. The next prime is 155304881. The reversal of 155304864 is 468403551.

It is a happy number.

155304864 is a `hidden beast` number, since 1 + 553 + 0 + 48 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (155304847) and next prime (155304881).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370447 + ... + 370865.

It is an arithmetic number, because the mean of its divisors is an integer number (2241162).

Almost surely, 2^155304864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268939440).

155304864 is an abundant number, since it is smaller than the sum of its proper divisors (382574016).

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

155304864 is a wasteful number, since it uses less digits than its factorization.

155304864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 155304864 is about 12462.1372163847. The cubic root of 155304864 is about 537.5204840940.

The spelling of 155304864 in words is "one hundred fifty-five million, three hundred four thousand, eight hundred sixty-four".