155138303376 has 315 divisors, whose sum is σ = 525250572753. Its totient is φ = 44240152320.

The previous prime is 155138303363. The next prime is 155138303399. The reversal of 155138303376 is 673303831551.

The square root of 155138303376 is 393876.

It is a perfect power (a square), and thus also a powerful number.

155138303376 is a `hidden beast` number, since 1 + 5 + 513 + 8 + 30 + 33 + 76 = 666.

155138303376 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 44488933776 + 110649369600 = 210924^2 + 332640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 297769996 + ... + 297770516.

Almost surely, 2^155138303376 is an apocalyptic number.

155138303376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

155138303376 is the 393876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155138303376

155138303376 is an abundant number, since it is smaller than the sum of its proper divisors (370112269377).

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

155138303376 is an frugal number, since it uses more digits than its factorization.

155138303376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 155138303376 in words is "one hundred fifty-five billion, one hundred thirty-eight million, three hundred three thousand, three hundred seventy-six".