151519781952 has 840 divisors, whose sum is σ = 574911187488. Its totient is φ = 39016857600.

The previous prime is 151519781951. The next prime is 151519781989. The reversal of 151519781952 is 259187915151.

151519781952 is a `hidden beast` number, since 1 + 5 + 1 + 519 + 78 + 1 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151519781951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 589571008 + ... + 589571264.

Almost surely, 2^151519781952 is an apocalyptic number.

151519781952 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 151519781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287455593744).

151519781952 is an abundant number, since it is smaller than the sum of its proper divisors (423391405536).

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

151519781952 is a wasteful number, since it uses less digits than its factorization.

151519781952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 54.

The spelling of 151519781952 in words is "one hundred fifty-one billion, five hundred nineteen million, seven hundred eighty-one thousand, nine hundred fifty-two".