151642553760 has 384 divisors, whose sum is σ = 565439616000. Its totient is φ = 37846434816.

The previous prime is 151642553759. The next prime is 151642553789. The reversal of 151642553760 is 67355246151.

151642553760 is a `hidden beast` number, since 1 + 5 + 16 + 42 + 5 + 537 + 60 = 666.

151642553760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151642553760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6801511 + ... + 6823769.

It is an arithmetic number, because the mean of its divisors is an integer number (1472499000).

Almost surely, 2^151642553760 is an apocalyptic number.

151642553760 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 151642553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282719808000).

151642553760 is an abundant number, since it is smaller than the sum of its proper divisors (413797062240).

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

151642553760 is a wasteful number, since it uses less digits than its factorization.

151642553760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22385 (or 22371 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 151642553760 in words is "one hundred fifty-one billion, six hundred forty-two million, five hundred fifty-three thousand, seven hundred sixty".