151035264 has 96 divisors (see below), whose sum is σ = 444873000. Its totient is φ = 49158144.

The previous prime is 151035263. The next prime is 151035289. The reversal of 151035264 is 462530151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151035263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48012 + ... + 51060.

Almost surely, 2^151035264 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 151035264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222436500).

151035264 is an abundant number, since it is smaller than the sum of its proper divisors (293837736).

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

151035264 is a wasteful number, since it uses less digits than its factorization.

151035264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 151035264 is about 12289.6405154911. The cubic root of 151035264 is about 532.5488522264.

The spelling of 151035264 in words is "one hundred fifty-one million, thirty-five thousand, two hundred sixty-four".