139629268900 has 243 divisors, whose sum is σ = 345340711233. Its totient is φ = 48965716800.

The previous prime is 139629268879. The next prime is 139629268901. The reversal of 139629268900 is 9862926931.

It is a happy number.

The square root of 139629268900 is 373670.

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

It can be written as a sum of positive squares in only one way, i.e., 50266536804 + 89362732096 = 224202^2 + 298936^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (139629268901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1767459061 + ... + 1767459139.

Almost surely, 2^139629268900 is an apocalyptic number.

139629268900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139629268900 is the 373670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139629268900

139629268900 is an abundant number, since it is smaller than the sum of its proper divisors (205711442333).

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

139629268900 is a wasteful number, since it uses less digits than its factorization.

139629268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 55.

The spelling of 139629268900 in words is "one hundred thirty-nine billion, six hundred twenty-nine million, two hundred sixty-eight thousand, nine hundred".