151152003072 has 432 divisors, whose sum is σ = 518404985280. Its totient is φ = 43159412736.

The previous prime is 151152003053. The next prime is 151152003091. The reversal of 151152003072 is 270300251151.

151152003072 is a `hidden beast` number, since 1 + 511 + 52 + 0 + 0 + 30 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (151152003053) and next prime (151152003091).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94057693 + ... + 94059299.

It is an arithmetic number, because the mean of its divisors is an integer number (1200011540).

Almost surely, 2^151152003072 is an apocalyptic number.

151152003072 is a gapful number since it is divisible by the number (12) 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 151152003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259202492640).

151152003072 is an abundant number, since it is smaller than the sum of its proper divisors (367252982208).

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

151152003072 is an frugal number, since it uses more digits than its factorization.

151152003072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 151152003072 in words is "one hundred fifty-one billion, one hundred fifty-two million, three thousand, seventy-two".